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:

Step-by-step explanation:

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,

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

Answer 2

The coordinates of the point Q is $(3,-2)$

Explanation:

Given that the coordinates of the point P are $(-3,2)$

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

The coordinates of the origin are $(0,0)$

To determine the coordinates of the point Q

The coordinate of Q can be determined using the formula,

$\left(x_{m}, y_{m}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Since, OP=OQ which implies that the origin is the midpoint of P and Q.

Thus, we have, $\left(x_{m}, y_{m}\right)=(0,0)$

Substituting the values $\left(x_{m}, y_{m}\right)=(0,0)$ , $(-3,2)$ in the formula, we have,

$(0,0)=\left(\frac{-3+x}{2}, \frac{2+x}{2}\right)$

Equating the x coordinate, we have,

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

$0=-3+x$

$3=x$                

Equating the y - coordinate, we get,

  $0=\frac{2+y}{2}$

  $0=2+y$

$-2=y$

Thus, the coordinates of the point Q is $(3,-2)$

Learn more:

(1) 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.

brainly.in/question/5232143

(2) If origin is the midpoint of the line segment joining points (2,3) and (x,y), then find the value of x and y

brainly.in/question/7185629