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

Answer:  

8

Step-by-step explanation:

Let the point P be (2k, k), Q(2,-5), R(-3, 6)

PQ = PR …Given

PQ² = PR² …[Squaring both sides

(2k – 2) ²+ (k + 5)² = (2k + 3)² + (k – 6)²…Given

4k² + 4 – 8k + k² + 10k + 25 = 4k² + 9 + 12k + k² – 12k + 36

⇒ 2k + 29 = 45

⇒ 2k = 45 – 29

⇒ 2k = 16

⇒ k = 8

Hope it is helpful.