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Important Questions: Coordinate Geometry


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Important Questions: Coordinate Geometry - Question 1

If the distance between the points (2, - 2) and (-1, x) is 5, one of the values of x is

Detailed Solution for Important Questions: Coordinate Geometry - Question 1

(5)²= [{2-(-1)}² + {x-(-2)}²]
25= 9+(x+2)²
25-9 = (x+2)²
√16=x+2
x+2= 4
x=4-2
x= 2.

Important Questions: Coordinate Geometry - Question 2

A triangle with vertices (4, 0), (- 1, - 1) and (3, 5) is a/an

Detailed Solution for Important Questions: Coordinate Geometry - Question 2

Let A(4, 0), B(-1, -1), C(3, 5)

⇒ AB2 + AC2 = BC2 and AB = AC
Hence, triangle is an isosceles right-angled triangle.

Important Questions: Coordinate Geometry - Question 3

The points A (9, 0), B (9, 6), C (-9, 6) and D (-9, 0) are the vertices of a

Detailed Solution for Important Questions: Coordinate Geometry - Question 3

AB= √(9-9)²+(6-0)²=6
BC= √(-9-9)²+(6-6)²=18
CD = √(-9+9)²+(0-6)²=6
DA = √(-9-9)²+(0-0)²=18
so,it's opposite sides are equal,hence it is rectangle

Important Questions: Coordinate Geometry - Question 4

The points (- 4,0), (4, 0) and (0,3) are the vertices of a/an

Detailed Solution for Important Questions: Coordinate Geometry - Question 4

Isosceles triangle.

Important Questions: Coordinate Geometry - Question 5

The distance between the points A (0, 6) and B (0, -2) is

Detailed Solution for Important Questions: Coordinate Geometry - Question 5

Since both these points lie on a straight line i.e x axis, distance will be the difference between the respective y coordinates
(0,-2) & (0,6)  =>  6-(-2)) = 6+2 = 8

Important Questions: Coordinate Geometry - Question 6

A circle drawn with origin as the centre passes through  The point which does not lie in the interior of the circle is

Detailed Solution for Important Questions: Coordinate Geometry - Question 6

Distance of  from centre of the circle i. e.

Important Questions: Coordinate Geometry - Question 7

The distance between the points A (0, 7) and B (0, -3) is

Detailed Solution for Important Questions: Coordinate Geometry - Question 7

Since both these points lie on a straight line i.e x axis, distance will be the difference between the respective y coordinates

(0,-3)   (0,7)

7-(-3) = 7+3 = 10

Important Questions: Coordinate Geometry - Question 8

If the distance between the points (4,p) and (1,0) is 5 units, then the value of p is

Detailed Solution for Important Questions: Coordinate Geometry - Question 8


⇒ 32 + p2 = 52 ⇒ p2 = 25 - 9 = 16 ⇒ p = ± 4

Important Questions: Coordinate Geometry - Question 9

The end points of diameter of circle are (2, 4) and (-3, -1). The radius of the circle is

Detailed Solution for Important Questions: Coordinate Geometry - Question 9

radius = Diameter/2

diameter = √((2-(-3))+ (4-(-1))2)

               = √52+52 = √50 = 5√2

Important Questions: Coordinate Geometry - Question 10

If P(1, 2), Q(4,6), R(5,7) and S(a, b) are the vertices of a parallelogram PQRS, then

Detailed Solution for Important Questions: Coordinate Geometry - Question 10




Diagonals of parallelogram bisect each other.

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