Q16 of 149 Page 14

Which point on x-axis is equidistant from (5, 9) and (- 4, 6)?

Since the point is on x-axis, therefore coordinate of y-axis is zero.

Therefore the point is P(k, 0) which is equidistance from A(5, 9) and B(- 4, 6)

PA = PB

On squaring both sides

Therefore coordinate is (27, 0)

Show that the quadrilateral whose vertices are (2, -1), (3, 4), (-2, 3) and (-3, -2) is a rhombus.

Two vertices of an isosceles triangle are (2, 0) and (2, 5). Find the third vertex if the length of the equal sides is 3.

Prove that the points (- 2, 5), (0, 1) and (2, - 3) are collinear.

The coordinates of the point P are (-3, 2). Find the coordinates of the point Q which lies on the line joining P and origin such that OP = OQ.