Question

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.

Answer 1

answer is (+3,-2)
Origin coordinates are (0,0)
assume the coordinate of Q as (x,y)
now if the points P and Q are equidistant from O, then the midpoint of PQ is O. therefore
0= (3+x/2)
0=(-2+y/2)
solve for x and y, Voila !

Answer 2

Answer:

The coordinate of Q is (3,-2).

Step-by-step explanation:

Given : The coordinates of the point P are (-3, 2).

To find : The coordinates of the point Q which lies on the line joining P and origin such that OP = OQ ?

Solution :

We have given,

Point P = (-3,2)

Point O = (0,0) origin

Let Point Q = (x,y)

The point Q which lies on the line joining P and origin such that OP = OQ

i.e. Q is the mid point of OP

Applying mid-point theorem,

$\frac{x-3}{2}=0$

$x-3=0$

$x=3$

$\frac{y+2}{2}=0$

$y+2=0$

$y=-2$

So, The coordinate of Q is (3,-2).