Find the locus of a point, such that the join of `(-5,1)a n d(3,2)` subtends a right angle at the moving point.

Explanation

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Equation of AB

`y-1=(2-1)/(3+5)(x+5)`

`y-1=1/8(x+5)`

`m=1/8`

Slope of PD=-8

at point(h,k)

`y-k=-8(x-h)`.