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All questions of Achievers Section: Section 3 (HOTs) for Class 9 Exam
Read the following statements carefully and select the correct option.Statement-I: The diagonals of a rhombus bisect each other at right angles.
Statement-II: The diagonals of a parallelogram are equal.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'A'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The diagonals of a rhombus bisect each other at right angles.
Statement-II: The diagonals of a parallelogram are equal.
Statement-II: The diagonals of a parallelogram are equal.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
 | Komal Patel answered |
Explanation:
Statement-I:
- The statement is true. In a rhombus, the diagonals bisect each other at right angles. This property is unique to rhombuses.
- When the diagonals of a rhombus intersect, they form right angles at the point of intersection. This can be proven using the properties of rhombuses.
Statement-II:
- The statement is false. In a parallelogram, the diagonals are not necessarily equal in length.
- The diagonals of a parallelogram only bisect each other, meaning they divide each other into two equal parts. However, their lengths may not be the same.
- This property of parallelograms can be easily demonstrated through the construction of various parallelograms.
Therefore, option 'A' is correct as Statement-I is true, but Statement-II is false.
Statement-I:
- The statement is true. In a rhombus, the diagonals bisect each other at right angles. This property is unique to rhombuses.
- When the diagonals of a rhombus intersect, they form right angles at the point of intersection. This can be proven using the properties of rhombuses.
Statement-II:
- The statement is false. In a parallelogram, the diagonals are not necessarily equal in length.
- The diagonals of a parallelogram only bisect each other, meaning they divide each other into two equal parts. However, their lengths may not be the same.
- This property of parallelograms can be easily demonstrated through the construction of various parallelograms.
Therefore, option 'A' is correct as Statement-I is true, but Statement-II is false.
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the angles in any quadrilateral is 360 degrees.
(ii) A triangle can have more than one obtuse angle.
(iii) The diagonals of a parallelogram bisect each other.- a)(i)-T, (ii)-F, (iii)-T
- b)(i)-F, (ii)-F, (iii)-T
- c)(i)-T, (ii)-T, (iii)-F
- d)(i)-T, (ii)-F, (iii)-F
Correct answer is option 'A'. Can you explain this answer?
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The sum of the angles in any quadrilateral is 360 degrees.
(ii) A triangle can have more than one obtuse angle.
(iii) The diagonals of a parallelogram bisect each other.
(ii) A triangle can have more than one obtuse angle.
(iii) The diagonals of a parallelogram bisect each other.
a)
(i)-T, (ii)-F, (iii)-T
b)
(i)-F, (ii)-F, (iii)-T
c)
(i)-T, (ii)-T, (iii)-F
d)
(i)-T, (ii)-F, (iii)-F
 | EduRev Class 9 answered |
(i) True: The sum of the angles in any quadrilateral is 360 degrees.
(ii) False: A triangle cannot have more than one obtuse angle because the sum of the angles in a triangle is 180 degrees, and having two obtuse angles would exceed this sum.
(iii) True: The diagonals of a parallelogram bisect each other.
(ii) False: A triangle cannot have more than one obtuse angle because the sum of the angles in a triangle is 180 degrees, and having two obtuse angles would exceed this sum.
(iii) True: The diagonals of a parallelogram bisect each other.
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The value of π is approximately 3.14.
(ii) In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
(iii) All rectangles are squares.- a)(i)-T, (ii)-T, (iii)-F
- b)(i)-F, (ii)-T, (iii)-F
- c)(i)-T, (ii)-F, (iii)-T
- d)(i)-T, (ii)-T, (iii)-T
Correct answer is option 'A'. Can you explain this answer?
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The value of π is approximately 3.14.
(ii) In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
(iii) All rectangles are squares.
(i) The value of π is approximately 3.14.
(ii) In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
(iii) All rectangles are squares.
a)
(i)-T, (ii)-T, (iii)-F
b)
(i)-F, (ii)-T, (iii)-F
c)
(i)-T, (ii)-F, (iii)-T
d)
(i)-T, (ii)-T, (iii)-T
 | Imk Pathshala answered |
(i) True: The value of π is approximately 3.14.
(ii) True: This is the Pythagorean theorem.
(iii) False: All squares are rectangles, but not all rectangles are squares.
(ii) True: This is the Pythagorean theorem.
(iii) False: All squares are rectangles, but not all rectangles are squares.
Solve the following questions and select the correct option.(i) If (x+3) and (x−4) are the factors of px3 +x2 +3x+q, then find the value of (p+q).(ii) If x2 + y2 + z2=14, then find the value of xyz.- a)1, 28
- b)-1, -8
- c)2, 16
- d)-2, 24
Correct answer is option 'B'. Can you explain this answer?
Solve the following questions and select the correct option.
(i) If (x+3) and (x−4) are the factors of px3 +x2 +3x+q, then find the value of (p+q).
(ii) If x2 + y2 + z2=14, then find the value of xyz.
a)
1, 28
b)
-1, -8
c)
2, 16
d)
-2, 24
| | EduRev Class 9 answered |
Read the following statements carefully and select the correct option.
Statement-I: The determinant of the matrix 
Statement-II: The inverse of the matrix 
- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'A'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The determinant of the matrix
Statement-I: The determinant of the matrix
Statement-II: The inverse of the matrix
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | EduRev Class 9 answered |
The determinant of the matrix 
is 1.4 -2.3 = 4-6 = -2, making Statement-I true. The inverse of the matrix 
but considering the negative determinant, it does not match exactly, so Statement-II is false.
is 1.4 -2.3 = 4-6 = -2, making Statement-I true. The inverse of the matrix but considering the negative determinant, it does not match exactly, so Statement-II is false.Read the following statements carefully and select the correct option.
Statement-I: The distance formula between two points (x1,y1) and (x2,y2) is 
Statement-II: The midpoint of the segment connecting the points (x1,y1) and (x2,y2) is 
- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'C'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The distance formula between two points (x1,y1) and (x2,y2) is
Statement-II: The midpoint of the segment connecting the points (x1,y1) and (x2,y2) is
Statement-I: The distance formula between two points (x1,y1) and (x2,y2) is
Statement-II: The midpoint of the segment connecting the points (x1,y1) and (x2,y2) is
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
 | Let's Tute answered |
Solve the following questions and select the correct option.(i) If (x-3) and (x+1) are factors of 3x3+px2+qx+9, find the value of p+q.
(ii) If a+b+c=5 and ab+bc+ca=8, find the value of a2+b2+c2.
- a)A
- b)B
- c)C
- d)D
Correct answer is option 'D'. Can you explain this answer?
Solve the following questions and select the correct option.
(i) If (x-3) and (x+1) are factors of 3x3+px2+qx+9, find the value of p+q.
(ii) If a+b+c=5 and ab+bc+ca=8, find the value of a2+b2+c2.
(ii) If a+b+c=5 and ab+bc+ca=8, find the value of a2+b2+c2.
a)
A
b)
B
c)
C
d)
D
| | EduRev Class 9 answered |
(i) Substitute x=3 and x=−1 into the polynomial:
Fill in the blanks and select the correct option.
(i) If the quadratic equation x2 - 7x + 10 = 0 has roots α and β, then the value of α + β is P.
(ii) If the arithmetic mean of 8, 10, 12, 14, and 16 is Q.- a)P-5, Q-10
- b)P-7, Q-12
- c)P-7, Q-14
- d)P-5, Q-14
Correct answer is option 'B'. Can you explain this answer?
Fill in the blanks and select the correct option.
(i) If the quadratic equation x2 - 7x + 10 = 0 has roots α and β, then the value of α + β is P.
(ii) If the arithmetic mean of 8, 10, 12, 14, and 16 is Q.
(i) If the quadratic equation x2 - 7x + 10 = 0 has roots α and β, then the value of α + β is P.
(ii) If the arithmetic mean of 8, 10, 12, 14, and 16 is Q.
a)
P-5, Q-10
b)
P-7, Q-12
c)
P-7, Q-14
d)
P-5, Q-14
| | Let's Tute answered |
(i) Sum of the roots of the quadratic equation ax² + bx + c = 0 is -b/a = 7 (So, P = 7)
(ii) Arithmetic mean = (8 + 10 + 12 + 14 + 16) / 5 = 60 / 5 = 12 (So, Q = 12)
(ii) Arithmetic mean = (8 + 10 + 12 + 14 + 16) / 5 = 60 / 5 = 12 (So, Q = 12)
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The sum of the interior angles of a pentagon is 540 degrees.
(ii) A scalene triangle has no sides of equal length.
(iii) The diagonals of a rhombus are equal in length.- a)(i)-T, (ii)-T, (iii)-F
- b)(i)-F, (ii)-T, (iii)-T
- c)(i)-T, (ii)-F, (iii)-T
- d)(i)-T, (ii)-T, (iii)-T
Correct answer is option 'A'. Can you explain this answer?
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The sum of the interior angles of a pentagon is 540 degrees.
(ii) A scalene triangle has no sides of equal length.
(iii) The diagonals of a rhombus are equal in length.
(ii) A scalene triangle has no sides of equal length.
(iii) The diagonals of a rhombus are equal in length.
a)
(i)-T, (ii)-T, (iii)-F
b)
(i)-F, (ii)-T, (iii)-T
c)
(i)-T, (ii)-F, (iii)-T
d)
(i)-T, (ii)-T, (iii)-T
| | Imk Pathshala answered |
(i) True: The sum of the interior angles of a pentagon is 540 degrees (n-2)x180 for n=5.
(ii) True: A scalene triangle has no sides of equal length.
(iii) False: The diagonals of a rhombus are not equal in length; they bisect each other at right angles but are not of equal length.
(ii) True: A scalene triangle has no sides of equal length.
(iii) False: The diagonals of a rhombus are not equal in length; they bisect each other at right angles but are not of equal length.
Fill in the blanks and select the correct option.
(i) The LCM of 12 and 15 is P.
(ii) The HCF of 24 and 36 is Q.- a)P-60, Q-12
- b)P-30, Q-6
- c)P-60, Q-6
- d)P-30, Q-12
Correct answer is option 'A'. Can you explain this answer?
Fill in the blanks and select the correct option.
(i) The LCM of 12 and 15 is P.
(ii) The HCF of 24 and 36 is Q.
(i) The LCM of 12 and 15 is P.
(ii) The HCF of 24 and 36 is Q.
a)
P-60, Q-12
b)
P-30, Q-6
c)
P-60, Q-6
d)
P-30, Q-12
| | EduRev Class 9 answered |
(i) LCM of 12 and 15 = 60 (So, P = 60)
(ii) HCF of 24 and 36 = 12 (So, Q = 12)
(ii) HCF of 24 and 36 = 12 (So, Q = 12)
Read the following statements carefully and select the correct option.
Statement-I: The quadratic equation x2-5x+6=0 has roots 2 and 3 .
Statement-II: The sum of the roots of the quadratic equation ax2+bx+c=0 is given by -b/a.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'C'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The quadratic equation x2-5x+6=0 has roots 2 and 3 .
Statement-II: The sum of the roots of the quadratic equation ax2+bx+c=0 is given by -b/a.
Statement-I: The quadratic equation x2-5x+6=0 has roots 2 and 3 .
Statement-II: The sum of the roots of the quadratic equation ax2+bx+c=0 is given by -b/a.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | Let's Tute answered |
Factoring the quadratic equation x2-5x+6, we get (x-2)(x-3)=0, so the roots are 2 and 3, making Statement-I true. For any quadratic equation ax2+bx+c=0, the sum of the roots is indeed given by -b/a,
making Statement-II also true.
making Statement-II also true.
Read the following statements carefully and select the correct option.
Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 80 degrees.
Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'B'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 80 degrees.
Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 80 degrees.
Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | Let's Tute answered |
- Statement-I: If two angles of a triangle are 50° and 60°, the third angle is 180° - (50° + 60°) = 70°. Therefore, Statement-I is false.
- Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles, which is a well-known geometrical property. Statement-II is true.
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The circumference of a circle is 2πr where r is the radius.
(ii) The area of a circle is πr² where r is the radius.
(iii) The radius of a circle is twice its diameter.- a)(i)-T, (ii)-T, (iii)-F
- b)(i)-F, (ii)-T, (iii)-T
- c)(i)-T, (ii)-F, (iii)-T
- d)(i)-T, (ii)-T, (iii)-T
Correct answer is option 'A'. Can you explain this answer?
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The circumference of a circle is 2πr where r is the radius.
(ii) The area of a circle is πr² where r is the radius.
(iii) The radius of a circle is twice its diameter.
(ii) The area of a circle is πr² where r is the radius.
(iii) The radius of a circle is twice its diameter.
a)
(i)-T, (ii)-T, (iii)-F
b)
(i)-F, (ii)-T, (iii)-T
c)
(i)-T, (ii)-F, (iii)-T
d)
(i)-T, (ii)-T, (iii)-T
| | EduRev Class 9 answered |
(i) True: The circumference of a circle is 2πr where r is the radius.
(ii) True: The area of a circle is πr² where r is the radius
(iii) False: The radius of a circle is half its diameter.
(ii) True: The area of a circle is πr² where r is the radius
(iii) False: The radius of a circle is half its diameter.
Read the following statements carefully and select the correct option.
Statement-I: The area of a trapezium is given by 
Statement-II: The diagonals of a trapezium are always equal.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'A'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The area of a trapezium is given by
Statement-II: The diagonals of a trapezium are always equal.
Statement-I: The area of a trapezium is given by
Statement-II: The diagonals of a trapezium are always equal.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | EduRev Class 9 answered |
The area of a trapezium is indeed given by 
, making Statement-I true. However, the diagonals of a trapezium are not necessarily equal; they are only equal in an isosceles trapezium, so Statement-II is false.
, making Statement-I true. However, the diagonals of a trapezium are not necessarily equal; they are only equal in an isosceles trapezium, so Statement-II is false.Solve the following questions and select the correct option.(i) If (x+6) and (x−3) are the factors of px3 +3x2 −6x+q, then find the value of (p+q).(ii) If a+b+c=3, then find the value of abc.- a)-1, 9
- b)-1, -9
- c)1, 27
- d)-2, -27
Correct answer is option 'A'. Can you explain this answer?
Solve the following questions and select the correct option.
(i) If (x+6) and (x−3) are the factors of px3 +3x2 −6x+q, then find the value of (p+q).
(ii) If a+b+c=3, then find the value of abc.
a)
-1, 9
b)
-1, -9
c)
1, 27
d)
-2, -27
| | Let's Tute answered |
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) The area of a parallelogram is base times height.
(ii) The diagonals of a square bisect each other at right angles.
(iii) All parallelograms are rectangles.- a)(i)-T, (ii)-T, (iii)-F
- b)(i)-F, (ii)-T, (iii)-T
- c)(i)-T, (ii)-F, (iii)-T
- d)(i)-T, (ii)-T, (iii)-T
Correct answer is option 'A'. Can you explain this answer?
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The area of a parallelogram is base times height.
(ii) The diagonals of a square bisect each other at right angles.
(iii) All parallelograms are rectangles.
(ii) The diagonals of a square bisect each other at right angles.
(iii) All parallelograms are rectangles.
a)
(i)-T, (ii)-T, (iii)-F
b)
(i)-F, (ii)-T, (iii)-T
c)
(i)-T, (ii)-F, (iii)-T
d)
(i)-T, (ii)-T, (iii)-T
| | Imk Pathshala answered |
(i) True: The area of a parallelogram is base times height.
(ii) True: The diagonals of a square bisect each other at right angles.
(iii) False: Not all parallelograms are rectangles.
(ii) True: The diagonals of a square bisect each other at right angles.
(iii) False: Not all parallelograms are rectangles.
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The number of diagonals in a hexagon is 9.
(ii) The diagonals of a rectangle are equal in length.
(iii) The sides of an isosceles triangle are all of equal length.- a)(i)-T, (ii)-F, (iii)-F
- b)(i)-F, (ii)-T, (iii)-F
- c)(i)-T, (ii)-T, (iii)-F
- d)(i)-T, (ii)-F, (iii)-T
Correct answer is option 'B'. Can you explain this answer?
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The number of diagonals in a hexagon is 9.
(ii) The diagonals of a rectangle are equal in length.
(iii) The sides of an isosceles triangle are all of equal length.
(i) The number of diagonals in a hexagon is 9.
(ii) The diagonals of a rectangle are equal in length.
(iii) The sides of an isosceles triangle are all of equal length.
a)
(i)-T, (ii)-F, (iii)-F
b)
(i)-F, (ii)-T, (iii)-F
c)
(i)-T, (ii)-T, (iii)-F
d)
(i)-T, (ii)-F, (iii)-T
| | Let's Tute answered |
(i) False: The number of diagonals in a hexagon is 9.
(ii) True: The diagonals of a rectangle are equal in length.
(iii) False: Only two sides of an isosceles triangle are of equal length.
(ii) True: The diagonals of a rectangle are equal in length.
(iii) False: Only two sides of an isosceles triangle are of equal length.
Fill in the blanks and select the correct option.
(i) The surface area of a sphere with radius 7 cm is P cm2.
(ii) The volume of a cube with side 5 cm is Q cm3.- a)P-616, Q-125
- b)P-154, Q-125
- c)P-616, Q-64
- d)P-154, Q-64
Correct answer is option 'A'. Can you explain this answer?
Fill in the blanks and select the correct option.
(i) The surface area of a sphere with radius 7 cm is P cm2.
(ii) The volume of a cube with side 5 cm is Q cm3.
(i) The surface area of a sphere with radius 7 cm is P cm2.
(ii) The volume of a cube with side 5 cm is Q cm3.
a)
P-616, Q-125
b)
P-154, Q-125
c)
P-616, Q-64
d)
P-154, Q-64
| | Imk Pathshala answered |
(i) Surface area of a sphere = 4πr2 = 4 * π * 72 = 616 cm² (So, P = 616)
(ii) Volume of a cube = side3 = 53 = 125 cm3 (So, Q = 125)
(ii) Volume of a cube = side3 = 53 = 125 cm3 (So, Q = 125)
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.(i) A regular polygon has all sides and all angles equal.
(ii) The angle sum of a hexagon is 720 degrees.
(iii) The exterior angle of a regular pentagon is 72 degrees.- a)(i)-T, (ii)-F, (iii)-T
- b)(i)-T, (ii)-T, (iii)-F
- c)(i)-F, (ii)-T, (iii)-T
- d)(i)-T, (ii)-T, (iii)-T
Correct answer is option 'D'. Can you explain this answer?
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) A regular polygon has all sides and all angles equal.
(ii) The angle sum of a hexagon is 720 degrees.
(iii) The exterior angle of a regular pentagon is 72 degrees.
(ii) The angle sum of a hexagon is 720 degrees.
(iii) The exterior angle of a regular pentagon is 72 degrees.
a)
(i)-T, (ii)-F, (iii)-T
b)
(i)-T, (ii)-T, (iii)-F
c)
(i)-F, (ii)-T, (iii)-T
d)
(i)-T, (ii)-T, (iii)-T
| | Let's Tute answered |
(i) True: A regular polygon has all sides and all angles equal.
(ii) True: The angle sum of a hexagon is 720 degrees (n-2)x180 for n=6.
(iii) True: The exterior angle of a regular pentagon is 72 degrees (360/n for n=5).
(ii) True: The angle sum of a hexagon is 720 degrees (n-2)x180 for n=6.
(iii) True: The exterior angle of a regular pentagon is 72 degrees (360/n for n=5).
Fill in the blanks and select the correct option.
(i) The area of a trapezium with bases 10 cm and 6 cm, and height 5 cm is P cm2.
(ii) The area of a triangle with base 8 cm and height 12 cm is Q cm2.- a)P-40, Q-48
- b)P-30, Q-48
- c)P-30, Q-96
- d)P-40, Q-96
Correct answer is option 'A'. Can you explain this answer?
Fill in the blanks and select the correct option.
(i) The area of a trapezium with bases 10 cm and 6 cm, and height 5 cm is P cm2.
(ii) The area of a triangle with base 8 cm and height 12 cm is Q cm2.
(i) The area of a trapezium with bases 10 cm and 6 cm, and height 5 cm is P cm2.
(ii) The area of a triangle with base 8 cm and height 12 cm is Q cm2.
a)
P-40, Q-48
b)
P-30, Q-48
c)
P-30, Q-96
d)
P-40, Q-96
| | Let's Tute answered |
(i) Area of a trapezium = 1/2 * (sum of parallel sides) * height
= 1/2 * (10 + 6) * 5 = 40 cm² (So, P = 40)
(ii) Area of a triangle = 1/2 * base * height
= 1/2 * 8 * 12 = 48 cm² (So, Q = 48)
= 1/2 * (10 + 6) * 5 = 40 cm² (So, P = 40)
(ii) Area of a triangle = 1/2 * base * height
= 1/2 * 8 * 12 = 48 cm² (So, Q = 48)
Fill in the blanks and select the correct option.
(i) The sum of the interior angles of a polygon with 10 sides is P degrees.
(ii) The area of a square is 144 cm². The length of its diagonal is Q cm.- a)P-1440, Q-12√2
- b)P-1440, Q-12
- c)P-1260, Q-12√2
- d)P-1260, Q-24
Correct answer is option 'A'. Can you explain this answer?
Fill in the blanks and select the correct option.
(i) The sum of the interior angles of a polygon with 10 sides is P degrees.
(ii) The area of a square is 144 cm². The length of its diagonal is Q cm.
(i) The sum of the interior angles of a polygon with 10 sides is P degrees.
(ii) The area of a square is 144 cm². The length of its diagonal is Q cm.
a)
P-1440, Q-12√2
b)
P-1440, Q-12
c)
P-1260, Q-12√2
d)
P-1260, Q-24
| | Imk Pathshala answered |
(i) Sum of interior angles of a polygon = (n-2) * 180 = (10-2) * 180 = 1440 degrees (So, P = 1440)
(ii) Side of the square = √144 = 12 cm
Diagonal = Side * √2 = 12 * √2 cm (So, Q = 12√2)
(ii) Side of the square = √144 = 12 cm
Diagonal = Side * √2 = 12 * √2 cm (So, Q = 12√2)
Fill in the blanks and select the correct option.
(i) The number of diagonals in a hexagon is P.
(ii) The length of each side of an equilateral triangle with an area of 9√3 cm2 is Q cm.- a)P-9, Q-6
- b)P-6, Q-6
- c)P-9, Q-3
- d)P-6, Q-3
Correct answer is option 'D'. Can you explain this answer?
Fill in the blanks and select the correct option.
(i) The number of diagonals in a hexagon is P.
(ii) The length of each side of an equilateral triangle with an area of 9√3 cm2 is Q cm.
(i) The number of diagonals in a hexagon is P.
(ii) The length of each side of an equilateral triangle with an area of 9√3 cm2 is Q cm.
a)
P-9, Q-6
b)
P-6, Q-6
c)
P-9, Q-3
d)
P-6, Q-3
| | Imk Pathshala answered |
(i) Number of diagonals in a polygon = n(n-3)/2 = 6(6-3)/2 = 9 (So, P = 9)
(ii) Area of equilateral triangle = (√3/4) * a2 = 9√3
a2 = 36
a = √36 = 6 cm (So, Q = 6)
(ii) Area of equilateral triangle = (√3/4) * a2 = 9√3
a2 = 36
a = √36 = 6 cm (So, Q = 6)
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The opposite angles of a parallelogram are equal.
(ii) The sum of the exterior angles of any polygon is 360 degrees.
(iii) A rhombus has four right angles.- a)(i)-T, (ii)-T, (iii)-F
- b)(i)-F, (ii)-T, (iii)-T
- c)(i)-T, (ii)-F, (iii)-T
- d)(i)-T, (ii)-T, (iii)-T
Correct answer is option 'A'. Can you explain this answer?
Read the given statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The opposite angles of a parallelogram are equal.
(ii) The sum of the exterior angles of any polygon is 360 degrees.
(iii) A rhombus has four right angles.
(i) The opposite angles of a parallelogram are equal.
(ii) The sum of the exterior angles of any polygon is 360 degrees.
(iii) A rhombus has four right angles.
a)
(i)-T, (ii)-T, (iii)-F
b)
(i)-F, (ii)-T, (iii)-T
c)
(i)-T, (ii)-F, (iii)-T
d)
(i)-T, (ii)-T, (iii)-T
| | Imk Pathshala answered |
(i) True: The opposite angles of a parallelogram are equal.
(ii) True: The sum of the exterior angles of any polygon is 360 degrees.
(iii) False: A rhombus does not necessarily have four right angles.
(ii) True: The sum of the exterior angles of any polygon is 360 degrees.
(iii) False: A rhombus does not necessarily have four right angles.
Read the following statements carefully and select the correct option.
Statement-l: The arithmetic mean of the first five prime numbers is 5.6 .
Statement-II: The harmonic mean of the first five prime numbers is approximately 2.18.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'D'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-l: The arithmetic mean of the first five prime numbers is 5.6 .
Statement-II: The harmonic mean of the first five prime numbers is approximately 2.18.
Statement-l: The arithmetic mean of the first five prime numbers is 5.6 .
Statement-II: The harmonic mean of the first five prime numbers is approximately 2.18.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | Let's Tute answered |
The first five prime numbers are 2,3,5,7, and 11. Their arithmetic mean is (2+3+5+7+ 11) /5=28/5=5.6, making Statement-I true. However, the harmonic mean of the first five prime numbers is calculated as 
making Statement-II false.
making Statement-II false.
then find the value of xyz.
Solve the following questions and select the correct option.(i) If (x+7) and ( �� − 2 ) (x−2) are the factors of px3 −5x2 +4x+q, then find the value of (p+q).(ii) If x=1,y=−1,z=1, then find the value of xyz.- a)1, 1
- b)-3, -1
- c)2, 1
- d)4, 1
Correct answer is option 'B'. Can you explain this answer?
Solve the following questions and select the correct option.
(i) If (x+7) and ( �� − 2 ) (x−2) are the factors of px3 −5x2 +4x+q, then find the value of (p+q).
(ii) If x=1,y=−1,z=1, then find the value of xyz.
a)
1, 1
b)
-3, -1
c)
2, 1
d)
4, 1
| | EduRev Class 9 answered |
Match Column I with Column II and select the correct option.
- a)P-2, Q-4, R-3, S-1
- b)P-1, Q-2, R-3, S-4
- c)P-4, Q-3, R-2, S-1
- d)P-1, Q-4, R-3, S-2
Correct answer is option 'B'. Can you explain this answer?
Match Column I with Column II and select the correct option.
a)
P-2, Q-4, R-3, S-1
b)
P-1, Q-2, R-3, S-4
c)
P-4, Q-3, R-2, S-1
d)
P-1, Q-4, R-3, S-2
| | EduRev Class 9 answered |
P. Mean of {2, 4, 6, 8, 10} = (2+4+6+8+10)/5=6.
Q. Median is the middle value, which is 6.
R. Mode is the most frequent value, which is 5.
S. Range = maximum - minimum = 10 - 2 = 8.
Q. Median is the middle value, which is 6.
R. Mode is the most frequent value, which is 5.
S. Range = maximum - minimum = 10 - 2 = 8.
Read the following statements carefully and select the correct option.
Statement-I: The product of the roots of the quadratic equation 2x2-5x+3=0 is 4/2.
Statement-II: The sum of the roots of the quadratic equation 2x2-5x+3=0 is 5/2.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'A'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The product of the roots of the quadratic equation 2x2-5x+3=0 is 4/2.
Statement-II: The sum of the roots of the quadratic equation 2x2-5x+3=0 is 5/2.
Statement-I: The product of the roots of the quadratic equation 2x2-5x+3=0 is 4/2.
Statement-II: The sum of the roots of the quadratic equation 2x2-5x+3=0 is 5/2.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | EduRev Class 9 answered |
For a quadratic equation ax2+bx+c=0, the product of the roots is given by c/a. Here, the product is 3/2, making Statement-I false. The sum of the roots is given by -b/a, which is 5/2, but since the sum should be positive 5/2, Statement-II is true. Therefore, Statement-I is false but Statement-II is correct.
Read the following statements carefully and select the correct option.
Statement-I: The solution of the equation 2x+3=7 is x=2.
Statement-II: The graph of the equation y=2x+1 is a straight line.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'C'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The solution of the equation 2x+3=7 is x=2.
Statement-II: The graph of the equation y=2x+1 is a straight line.
Statement-I: The solution of the equation 2x+3=7 is x=2.
Statement-II: The graph of the equation y=2x+1 is a straight line.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | EduRev Class 9 answered |
Solving 2x+3=7, we get 2x=4, thus x=2, so Statement-I is true. However, the given statement claims that x=2, which is true. The equation y=2x+1 represents a linear function, and its graph is indeed a straight line, so Statement-II is true.
Match Column I with Column II and select the correct option.
- a)P-1, Q-2, R-3, S-4
- b)P-2, Q-3, R-1, S-4
- c)P-1, Q-4, R-2, S-3
- d)P-3, Q-1, R-2, S-4
Correct answer is option 'A'. Can you explain this answer?
Match Column I with Column II and select the correct option.
a)
P-1, Q-2, R-3, S-4
b)
P-2, Q-3, R-1, S-4
c)
P-1, Q-4, R-2, S-3
d)
P-3, Q-1, R-2, S-4
| | Let's Tute answered |
P. First 4 prime numbers are 2, 3, 5, and 7. Sum = 17.
Q. Probability of heads in a fair coin = 1/2.
R. A tetrahedron has 6 edges.
S. Sum of interior angles of a polygon with n sides = (n-2) x 180º,for hexagon n = 6, so 4 x 180º = 720º
Q. Probability of heads in a fair coin = 1/2.
R. A tetrahedron has 6 edges.
S. Sum of interior angles of a polygon with n sides = (n-2) x 180º,for hexagon n = 6, so 4 x 180º = 720º
Fill in the blanks and select the correct option.
(i) The perimeter of a rectangle is 54 cm. If its length is 16 cm, its width is P cm.
(ii) The circumference of a circle with a radius of 7 cm is Q cm.- a)P-10, Q-22
- b)P-10, Q-44
- c)P-11, Q-44
- d)P-14, Q-44
Correct answer is option 'C'. Can you explain this answer?
Fill in the blanks and select the correct option.
(i) The perimeter of a rectangle is 54 cm. If its length is 16 cm, its width is P cm.
(ii) The circumference of a circle with a radius of 7 cm is Q cm.
(i) The perimeter of a rectangle is 54 cm. If its length is 16 cm, its width is P cm.
(ii) The circumference of a circle with a radius of 7 cm is Q cm.
a)
P-10, Q-22
b)
P-10, Q-44
c)
P-11, Q-44
d)
P-14, Q-44
| | Let's Tute answered |
(i) Perimeter = 2(l + w)
54 = 2(16 + w)
54 = 32 + 2w
2w = 22
w = 11 cm (So, P = 11)
(ii) Circumference = 2πr = 2 * π * 7 = 44 cm (So, Q = 44)
54 = 2(16 + w)
54 = 32 + 2w
2w = 22
w = 11 cm (So, P = 11)
(ii) Circumference = 2πr = 2 * π * 7 = 44 cm (So, Q = 44)
Read the following statements carefully and select the correct option.
Statement-I: The sum of the interior angles of a hexagon is 720 degrees.
Statement-II: A quadrilateral with one pair of opposite sides equal and parallel is called a parallelogram.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'A'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The sum of the interior angles of a hexagon is 720 degrees.
Statement-II: A quadrilateral with one pair of opposite sides equal and parallel is called a parallelogram.
Statement-I: The sum of the interior angles of a hexagon is 720 degrees.
Statement-II: A quadrilateral with one pair of opposite sides equal and parallel is called a parallelogram.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | Let's Tute answered |
Read the following statements carefully and select the correct option.
Statement-I: The greatest common divisor (GCD) of 24 and 36 is 12.
Statement-II: The least common multiple (LCM) of 5 and 7 is 35.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'C'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The greatest common divisor (GCD) of 24 and 36 is 12.
Statement-II: The least common multiple (LCM) of 5 and 7 is 35.
Statement-I: The greatest common divisor (GCD) of 24 and 36 is 12.
Statement-II: The least common multiple (LCM) of 5 and 7 is 35.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | Let's Tute answered |
The GCD of 24 and 36 is 12 since 12 is the largest number that divides both 24 and 36 without leaving a remainder, so Statement-I is true. The LCM of 5 and 7 is 35 because 35 is the smallest number that both 5 and 7 divide without a remainder, making Statement-II also true.
Match Column I with Column II and select the correct option.
- a)P-1, Q-3, R-2, S-4
- b)P-4, Q-1, R-3, S-2
- c)P-1, Q-4, R-3, S-2
- d)P-2, Q-4, R-1, S-3
Correct answer is option 'C'. Can you explain this answer?
Match Column I with Column II and select the correct option.
a)
P-1, Q-3, R-2, S-4
b)
P-4, Q-1, R-3, S-2
c)
P-1, Q-4, R-3, S-2
d)
P-2, Q-4, R-1, S-3
| | Imk Pathshala answered |
P. Let the number be x. Then, 3x+5=17 gives 3x=12 sox=4.
Q. The sum of the angles in a triangle is always 180°.
R. Perimeter of rectangle = 2(length+width)=2(6+4)=20.
S. Let the numbers be x and y. x+y=15 and x−y=5. Solving, x=10, y=5.
Q. The sum of the angles in a triangle is always 180°.
R. Perimeter of rectangle = 2(length+width)=2(6+4)=20.
S. Let the numbers be x and y. x+y=15 and x−y=5. Solving, x=10, y=5.
Read the following statements carefully and select the correct option.Statement-I: In a right triangle, the length of the hypotenuse is always greater than the length of either leg.
Statement-II: In any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'C'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: In a right triangle, the length of the hypotenuse is always greater than the length of either leg.
Statement-II: In any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
Statement-II: In any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | EduRev Class 9 answered |
In a right triangle, by the Pythagorean theorem, the hypotenuse is the longest side, making Statement-I true. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, making Statement-II also true.
, then find the value of abc.
Read the following statements carefully and select the correct option.
Statement-I: The sum of the first n natural numbers is 
Statement-II: The sum of the first n odd natural numbers is n2 .- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'C'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The sum of the first n natural numbers is
Statement-II: The sum of the first n odd natural numbers is n2 .
Statement-I: The sum of the first n natural numbers is
Statement-II: The sum of the first n odd natural numbers is n2 .
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | Let's Tute answered |
The sum of the first n natural numbers is indeed given by the formula 
making Statement-I true. The sum of the first n odd natural numbers is given by n2 , making Statement-II also true.
making Statement-I true. The sum of the first n odd natural numbers is given by n2 , making Statement-II also true.Solve the following questions and select the correct option.(i) If (x+2) and (x−5) are the factors of px3 - 4x2 + 2x+q, then find the value of (p+q).(ii) If x+y+z=0 and x2 +y2 +z2 =20, then find the value of xyz.- a)-2, 30
- b)-1, 10
- c)3, 20
- d)2, 40
Correct answer is option 'A'. Can you explain this answer?
Solve the following questions and select the correct option.
(i) If (x+2) and (x−5) are the factors of px3 - 4x2 + 2x+q, then find the value of (p+q).
(ii) If x+y+z=0 and x2 +y2 +z2 =20, then find the value of xyz.
a)
-2, 30
b)
-1, 10
c)
3, 20
d)
2, 40
| | Imk Pathshala answered |
Read the following statements carefully and select the correct option.
Statement-I: The volume of a cube with side length 4 cm is 64 cubic cm.
Statement-II: The perimeter of a rectangle with length 5 cm and width 3 cm is 16 cm.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'C'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The volume of a cube with side length 4 cm is 64 cubic cm.
Statement-II: The perimeter of a rectangle with length 5 cm and width 3 cm is 16 cm.
Statement-I: The volume of a cube with side length 4 cm is 64 cubic cm.
Statement-II: The perimeter of a rectangle with length 5 cm and width 3 cm is 16 cm.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | Imk Pathshala answered |
The volume of a cube is given by side length cubed. For a side length of 4 cm , the volume is 43= 64 cubic cm , so Statement-I is true. The perimeter of a rectangle is 2 (length + width). For given dimensions, this is 2(5+3)=16 cm, so Statement-II is also true.
Read the following statements carefully and select the correct option.Statement-I: The area of a triangle with base 10 cm and height 5 cm is 25 square cm.
Statement-II: The area of a circle with radius 7 cm is 154π square cm.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'A'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The area of a triangle with base 10 cm and height 5 cm is 25 square cm.
Statement-II: The area of a circle with radius 7 cm is 154π square cm.
Statement-II: The area of a circle with radius 7 cm is 154π square cm.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | EduRev Class 9 answered |
The area of a triangle is given by 1/2 ×base×height. For the given triangle, this is 1/2 x10x5=25 square cm, so Statement-I is true. The area of a circle is given by πr2 . For a radius of 7 cm, the area is 49π square cm, not 154π, so Statement-II is false.
Solve the following questions and select the correct option.
(i) If (x+2) and (x-3) are the factors of px3+2x2-5x+q, then find the value of (p+q).- a)1/8
- b)-99/7
- c)3/7
- d)-4/27
Correct answer is option 'B'. Can you explain this answer?
Solve the following questions and select the correct option.
(i) If (x+2) and (x-3) are the factors of px3+2x2-5x+q, then find the value of (p+q).
(i) If (x+2) and (x-3) are the factors of px3+2x2-5x+q, then find the value of (p+q).
a)
1/8
b)
-99/7
c)
3/7
d)
-4/27
| | Imk Pathshala answered |
(i) Given factors (x+2) and (x-3), substituting in the polynomial px3+2x2-5x+q, we get:
P(−2)3+2(−2)2−5(−2)+q=0
⇒−8p+8+10+q=0
⇒−8p+q+18=0
⇒q=8p−18
P(3)3+2(3)2−5(3)+q=0
⇒27p+18−15+q=0
⇒27p+q+3=0
⇒q=−27p−3
8p−18=−27p−3
⇒35p=15
⇒p=3/7
⇒q=8x3/7−18=24/7 - 18 = -102/7
⇒−8p+8+10+q=0
⇒−8p+q+18=0
⇒q=8p−18
P(3)3+2(3)2−5(3)+q=0
⇒27p+18−15+q=0
⇒27p+q+3=0
⇒q=−27p−3
8p−18=−27p−3
⇒35p=15
⇒p=3/7
⇒q=8x3/7−18=24/7 - 18 = -102/7
(Incorrect, recheck for solving process)
(ii)
(Simplify by checking root multiplier) xyz=27
Match Column I with Column II and select the correct option.
- a)P-2, Q-3, R-1, S-4
- b)P-4, Q-1, R-3, S-2
- c)P-2, Q-3, R-4, S-1
- d)P-1, Q-4, R-3, S-2
Correct answer is option 'A'. Can you explain this answer?
Match Column I with Column II and select the correct option.
a)
P-2, Q-3, R-1, S-4
b)
P-4, Q-1, R-3, S-2
c)
P-2, Q-3, R-4, S-1
d)
P-1, Q-4, R-3, S-2
| | Imk Pathshala answered |
P. Area of a circle 
Q. The median is the middle value, which is 9.
R. The mode is the most frequent value, which is 7.
S. Sum of first 5 natural numbers = 1+2+3+4+5=15.
Q. The median is the middle value, which is 9.
R. The mode is the most frequent value, which is 7.
S. Sum of first 5 natural numbers = 1+2+3+4+5=15.
Match Column I with Column II and select the correct option.
- a)P-3, Q-1, R-4, S-2
- b)P-4, Q-1, R-3, S-2
- c)P-2, Q-4, R-1, S-3
- d)P-1, Q-2, R-3, S-4
Correct answer is option 'D'. Can you explain this answer?
Match Column I with Column II and select the correct option.
a)
P-3, Q-1, R-4, S-2
b)
P-4, Q-1, R-3, S-2
c)
P-2, Q-4, R-1, S-3
d)
P-1, Q-2, R-3, S-4
| | EduRev Class 9 answered |
P. Sum of the exterior angles of any polygon is always 360°.
Q. Square root of 49 is 7.
R. Cube root of 27 is 3.
S. A pentagon has 5 vertices.
Q. Square root of 49 is 7.
R. Cube root of 27 is 3.
S. A pentagon has 5 vertices.
Match Column I with Column II and select the correct option.
- a)P-4, Q-2, R-1, S-3
- b)P-3, Q-4, R-1, S-2
- c)P-4, Q-1, R-3, S-2
- d)P-2, Q-1, R-3, S-4
Correct answer is option 'A'. Can you explain this answer?
Match Column I with Column II and select the correct option.
a)
P-4, Q-2, R-1, S-3
b)
P-3, Q-4, R-1, S-2
c)
P-4, Q-1, R-3, S-2
d)
P-2, Q-1, R-3, S-4
| | Let's Tute answered |
P. Product of the roots = constant term / coefficient of x2 = 6/1 = 6.
Q. HCF of 18 and 24 is 6.
R. LCM of 4 and 5 is 20.
S. A cube has 6 faces.
Q. HCF of 18 and 24 is 6.
R. LCM of 4 and 5 is 20.
S. A cube has 6 faces.
Fill in the blanks and select the correct option.
(i) The value of P if (x - 2)(x - 3) = x2 - Px + 6.
(ii) The value of Q if the mean of the first 5 prime numbers is Q.- a)P-5, Q-5
- b)P-7, Q-6
- c)P-5, Q-6
- d)P-7, Q-5
Correct answer is option 'D'. Can you explain this answer?
Fill in the blanks and select the correct option.
(i) The value of P if (x - 2)(x - 3) = x2 - Px + 6.
(ii) The value of Q if the mean of the first 5 prime numbers is Q.
(i) The value of P if (x - 2)(x - 3) = x2 - Px + 6.
(ii) The value of Q if the mean of the first 5 prime numbers is Q.
a)
P-5, Q-5
b)
P-7, Q-6
c)
P-5, Q-6
d)
P-7, Q-5
| | Let's Tute answered |
(i) Expanding (x - 2)(x - 3) gives x2 - 5x + 6, so P = 5 (So, P = 5)
(ii) The first 5 prime numbers are 2, 3, 5, 7, 11.
Mean = (2+3+5+7+11)/5 = 28/5 = 5.6 (So, Q = 5.6)
(ii) The first 5 prime numbers are 2, 3, 5, 7, 11.
Mean = (2+3+5+7+11)/5 = 28/5 = 5.6 (So, Q = 5.6)
Read the following statements carefully and select the correct option.Statement-I: The measure of each interior angle of a regular octagon is 135 degrees.
Statement-II: The measure of each exterior angle of a regular octagon is 45 degrees.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'C'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: The measure of each interior angle of a regular octagon is 135 degrees.
Statement-II: The measure of each exterior angle of a regular octagon is 45 degrees.
Statement-II: The measure of each exterior angle of a regular octagon is 45 degrees.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | EduRev Class 9 answered |
First, let's calculate the interior angle of a regular octagon.
A regular polygon with n sides has an interior angle given by the formula:
A regular polygon with n sides has an interior angle given by the formula:
For a regular octagon (n=8):
So, Statement-I is true.
Next, let's calculate the exterior angle of a regular octagon.
The exterior angle of a regular polygon is given by the formula:
Next, let's calculate the exterior angle of a regular octagon.
The exterior angle of a regular polygon is given by the formula:
So, Statement-II is also true.
Therefore, both Statement-I and Statement-II are true.
Hence, the correct option is:C
Read the following statements carefully and select the correct option.
Statement-I: If a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of the segment.
Statement-II: The locus of points equidistant from two given points is the perpendicular bisector of the segment joining those points.- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'C'. Can you explain this answer?
Read the following statements carefully and select the correct option.
Statement-I: If a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of the segment.
Statement-II: The locus of points equidistant from two given points is the perpendicular bisector of the segment joining those points.
Statement-I: If a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of the segment.
Statement-II: The locus of points equidistant from two given points is the perpendicular bisector of the segment joining those points.
a)
Statement-I is true but Statement-II is false.
b)
Statement-I is false but Statement-II is true.
c)
Both Statement-I and Statement-II are true.
d)
Both Statement-I and Statement-II are false.
| | Imk Pathshala answered |
If a point is equidistant from the endpoints of a segment, it must lie on the perpendicular bisector of the segment, making Statement-I true. The locus of points equidistant from two given points is indeed the perpendicular bisector of the segment joining those points, making Statement-II also true.
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