Question

The sum of the squares of its distances from A(3, 0) and B(-3, 0) is four times the distance from A and B.​

Answer 1

Answer:

x²+y²-63= 0

Step-by-step explanation:

Let P(x, y) be the point

Given PA²+PB²= 4AB

(x-3)²+(y)²+(x+3)²+(y)² = 4[(3+3)²]

x²-6x+9+y²+x²+6x+9+y²= 4(36)

2x²+2y²+18= 144

2x²+2y²= 144-18

2(x²+y²) = 126

x²+y²= 63

x²+y²-63=0