Question

The x coordinate of a point P is twice its y coordinate. If P is equidistant from Q(2,-5) and R(-3,6), find the coordinates of P.

Answer 1

Step-by-step explanation:

Let the coordinates of P be (x,y). It is given that x=2y

Also,

PQ=PR

⇒

(x−2)

2

+(y+5)

2

=

(x+3)

2

+(y−6)

2

⇒

(2y−2)

2

+(y+5)

2

=

(2y+3)

2

+(y−6)

2

⇒

5y

2

+2y+29

=

5y

2

+45

⇒5y

2

+2y+29=5y

2

+45

⇒2y=16

⇒y=8

Hence, the coordinates of P are (16,8).