Question

if the line segment joining the points P and Q (5,-2) is bisected at original find the coordinates of P.

Answer 1

the co ordinates of P is (-5,2)

Answer 2

Answer:

The coordinates of P are (-5,2).

Step-by-step explanation:

It is given that P and Q (5,-2) is bisected at origin.

Let the coordinates of P are (x,y).

Midpoint of P and Q is

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Origin is the midpoint of PQ.

$(0,0)=(\frac{x+5}{2},\frac{y-2}{2})$

On comparing both sides.

$\frac{x+5}{2}=0$

$x+5=0$

$x=-5$

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

$y-2=0$

$y=2$

Therefore the coordinates of P are (-5,2).