Question

if A and B are two fixed point and P moves such that angle APB =  pi by 4 then shape of locus of P will be

Answer 1

The locus of point P must be a part of ellipse.

Explanation:

Take any numerical coordinates of point A and B and coordinates of point P as (h,k).

Now find the slope of both the line AP and BP (by the formula y₂ - y₁ /x₂ - x₁)
We know that angle between two intersecting lines is given by

tan ϴ = m₂ - m₁/1 + m₁m₂

Now you will get the locus of P