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Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

Q1:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The ordinate of a point A on y-axis is 5 and B has coordinates (–3, 1). Then the length of AB is 5 units.

Reason (R): The point A(2, 7) lies on the perpendicular bisector of line segment joining the points P(6, 5) and Q(0, –4).

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Q2:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The area of the triangle with vertices (-5 , -1), (3, -5), (5, 2), is 32 square units.Reason : The point (x, y) divides the line segment joining the points (x1, y1) and (x2, y2) in the ratio k : 1 externally then

Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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Q3:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The co-ordinates of the point which divides the join of A(-5, 11) and B(4,-7) in the ratio 7 : 2 is (2, -3) Reason : The coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2) in the ratio m1 : m2 is Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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Q4:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): △ABC with vertices A(–2, 0), B(2, 0) and C(0, 2) is similar to △DEF with vertices D(–4, 0), E(4, 0) and F(0, 4).

Reason (R): A circle has its centre at the origin and a point P(5, 0) lies on it. The point Q(6, 8) lies outside the circle.

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Q5:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The points (k, 2 -2k), (- k+ 1,2k) and (- 4 - k, 6 - 2k) are collinear if k = 1/2. Reason : Three points A,B and C are collinear in same straight line, if AB + BC = AC.

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Q6:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : If the points A(4, 3) and B(x, 5) lies on a circle with the centre O(2,3) then the value of x is 2.

Reason : The mid-point of the line segment joining the points P(x1, y1) and Q(x2, y2) isClass 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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Q7:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If the distance between the point (4, p) and (1, 0) is 5, then the value of p is 4.

Reason (R): The point which divides the line segment joining the points (7, – 6) and (3, 4) in ratio 1 : 2 internally lies in the fourth quadrant.

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Q8:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : Centroid of a triangle formed by the points (a, b) (b, c), and (c, a) is at origin, Then a + b + c = 0 .

Reason : Centroid of a △ABC with vertices A (x1, y1), B(x2, y2) and C (x3, y3) is given by

Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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Q9:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The possible values of x for which the distance between the points A(x, -1) and B(5, 3) is 5 units are 2 and 8.

Reason : Distance between two given points A(x1, y1) and B(x2, y2) is given by,

Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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Q10:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.

Reason : If area of triangle is zero that means points are collinear.

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Q11:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The point (-1, 6) divides the line segment joining the points (-3, 10) and (6, -8) in the ratio 2 : 7 internally.

Reason : Three points A,B and C are collinear if AB + BC = AC

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Q12:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The point (-1, 6) divides the line segment joining the points (-3, 10) and (6, -8) in the ratio 2 :7 internally.

Reason : Three points A,B and C are collinear if area of △ ABC = 0 .

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Q13:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The value of y is 6, for which the distance between the points P(2,- 3) and Q(10, y) is 10.

Reason : Distance between two given points A(x1, y1) and B(x2, y2) is given by,

Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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Q14:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : If A (2a, 4a) and B (2a, 6a) are two vertices of a equilateral triangle ABC then the vertex C is given by (2a + a√3, 5a).

Reason : In equilateral triangle all the coordinates of three vertices can be rational.

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Q15:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The point (0, 4) lies on y -axis.

Reason : The x co-ordinate on the point on y -axis is zero.

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Q16:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The value of y is 6, for which the distance between the points P(2, -3) and Q(10, y) is 10.

Reason : Distance between two given points A (x1, y1) and B(x2, y2) is given 6,

Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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Q17:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : C is the mid-point of PQ, if P is (4, x), C is (y,- 1) and Q is (- 2, 4), then x and y respectively are -6 and 1.

Reason : The mid-point of the line segment joining the points P(x1, y1) and Q(x2, y2) is Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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Q18:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : The point (0, 4) lies on y -axis.

Reason : The x co-ordinate on the point on y -axis is zero.

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Q19:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion : Ratio in which the line 3x + 4y = 7 divides the line segment joining the points (1, 2) and (- 2, 1) is 3 : 5Reason : The coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2) in the ratio m1 : m2 is Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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Q20:

Question for Assertion & Reason Type Questions: Coordinate Geometry
Try yourself:Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion: The point which divides the line joining the points A(1, 2) and B(- 1, 1) internally in the ratio 1: 2 is Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

Reason : The coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2) in the ratio m1 : m2 is

Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry

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The document Class 10 Maths Chapter 7 Assertion and Reason Questions - Coordinate Geometry is a part of the Class 10 Course Mathematics (Maths) Class 10.
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