Question

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.

Answer 1

`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)`.