# If P is a point on x-axis such that its distance from the origin is 3 units,

Question:

If P is a point on x-axis such that its distance from the origin is 3 units, then the coordinates of a point on OY such that OP = OQ, are

(a) (0, 3)

(b) (3, 0)

(c) (0, 0)

(d) (0, −3)

Solution:

GIVEN: If P is a point on x axis such that its distance from the origin is 3 units.

TO FIND: The coordinates of a point Q on OY such that OP= OQ.

On x axis y coordinates is 0. Hence the coordinates of point P will be (3, 0) as it is given that the distance from origin is 3 units.

Now then the coordinates of Q on OY such that OP = OQ

On y axis x coordinates is 0. Hence the coordinates of point Q will be (0, 3)

Hence correct option is (a)