Question

please solve the question

Answer 1

Answer:

(3,-2)

Step-by-step explanation:

Given : P(-3,2)

          O(0,0)

          Point Q lies on the line joining the points P and O

To Find : Find the coordinates of Q such that OP = OQ

Solution:

Since we are given that OP = OQ

So, O is the mid point of line PQ

So, $O=(x,y)=(0,0)$

We will use mid point formula:

$x=\frac{x_1+x_2}{2} , y=\frac{y_1+y_2}{2}$

$O=(x,y)=(0,0)$

$P=(x_1,y_1)=(-3,2)$

$Q=(x_2,y_2)$

Substitute the values

$0=\frac{-3+x_2}{2} , 0=\frac{2+y_2}{2}$

$3=x_2, -2=y_2$

So, Coordinates of Q is (3,-2)