M L Aggarwal Solutions for Exercise 2: Multiple Choice Questions

If the end points of a diameter of a circle are $A\left(-2, 3\right)$ and $B\left(4, -5\right)$, then the coordinates of its centre are

If one end of a diameter of a circle is $\left(2, 3\right)$ and the centre is $\left(-2, 5\right)$, then the other end is

If the mid-point of the line segment joining the points $P\left(a, b-2\right)$ and $Q\left(-2, 4\right)$ is $R\left(2, -3\right)$, then the values of $a$ and $b$ are

The point which lies on the perpendicular bisector of the line segment joining the points $A\left(-2, -5\right)$ and $B\left(2, 5\right)$ is

The coordinates of the point which is equidistant from the three vertices of $∆AOB$ (shown in the adjoining figure) are

The fourth vertex $D$ of a parallelogram $ABCD$ whose three vertices are $A\left(-2, 3\right), B\left(6, 7\right)$ and $C\left(8, 3\right)$ is

The point which divides the line segment joining the points $\left(7, -6\right)$ and $\left(3, 4\right)$ in the ratio $1:2$ internally lies in the

The centroid of the triangle whose vertices are $\left(3, -7\right), \left(-8, 6\right)$ and $\left(5, 10\right)$ is