Question

let A (0,1) and B(-4,3) be two fixed points. Find the locus of point P such that PA^2-PB^2=16​

Answer 1

Answer:

Given that A and B are two fixed points on a plane locus of P such that PA

2

+PB

2

=AB

2

, such that △PAB is a right-angled triangle.

Let the points A and B be and points of a diameter of circle C.

The locus of point P are the points comprising circle C,less points A and B.

∴ The locus of a point is a circle without A and B