Question

If the distance of P(x,4) from A(6,2) and B(-2,6) are equal prove that
y=2x.

Answer 1

Correct option is

A

True

P(x,y)A(6,2)B(−2,6)

∵PA=PB

∵PA

2

=PB

2

(x+6)

2

+(y−2)

2

=(x+2)

2

+(y−d)

2

x

2

−12x+36+y

2

−4y+4=x

2

+4x+4+y

2

−12y+36

−12x−4y=4x−12y

12y−4y=4x+12x

8y=16x

y=2x