Co ordinate Geometry Test 01

The point whose ordinate is 4 and which lies on Y-axis is

• A. (4,0 )

• B. (0 , 4 )

• C. (1 , 4 )

• D. (4,2 )

Answer explanation

Given ordinate of the point is 4 and the point lies on Y-axis, so its abscissa is zero. Hence, the required point is (0,4).

The distance between the points A(3, - 6) and B(- 2, 6) is

• A . 10 units

• B . 12 units

• C. 13 units

• D. 14 units

The distance of the point A(8, 6) from the origin is

• A. 11 units

• B. 10 units

• C. 12 units

• D. 14 units

The point on X-axis which is equidistant from A(6, 5) and

B(- 4, 3) is

• A. (0,8)

• B. (8,0)

• C.( 0,9)

• D. (9,0)

The x-coordinate of a point P is twice its y - coordinate. If P is equidistant from Q(2 , - 5) and R(- 3, 6)a then the coordinates of P are

• A. (8,4)

• B. ( 16,8)

• C. (10,5)

• D. (12,6)

The triangle formed by joining the points A (3, 2) , B (-2,-3) and C (2,3) is

• A. Isosceles

• B. Equilateral

• C. Right

• D. Scalene

A point P(6, 8) lies on the circle with center at O (3, 4).The diameter of the circle is

• A . 5 units

• B. 8 units

• C. 10 units

• D. 12 units

The coordinates of the point which divides the line segment joining the points A(6, 3) and B(- 4, 5) in the ratio 3 : 2 are.

• A. (0,4)

• B. $\left(0,\frac{21}{5}\right)$

• C. (0,7)

• D.(-5,10)

The ratio in which the y-axis divides the line segment joining the points P(- 4, 5) and Q(3, - 7) is

• A. 1:2

• B. 2:3

• C. 3:4

• D. 4:3

The three vertices of a parallelogram ABCD taken in order are A(- 1, 0), B(3,1) and C(2, 2) respectively. Find the coordinates of vertex D.

• A. (-2,1)

• B. (3,4)

• C.(11,-7)

• D.(6,8)