Question

If the distance of p(x,y) from A(6,2)& B(-2,6) are equal,prove that y=zx

Answer 1

P(x,y)

A(6,2)

V(-2,6)

PA = PB

PA² = PB²

(x-6)² + (y-2)² = (x+2)² + (y-6)²

x² - 12x + 36 + y² - 4x + 4 = x² + 4x + 4 + y² - 12x + 36

-12x - 4y = 4x - 12y

8y = 12x

y = 2x. (HENCE PROVE)