let P=(-25,0), Q=(25,0), and R=(-24,7).

Question

(a) Find an equation for the circles that goes through P, Q, and  R.

(b) Find atleast two ways of showing that angle PQR right.

(c) Find coordinates for three other points R that would have made angle PQR right.

Answer 1

x^2 +y^2 = 25^2 = 625

has left and right end points (-25,0) and (25,0)

with center at the origin (0,0), radius = 25

and goes through (-24, 7)

(-24)^2 +(7)^2 = 625