The ends of the hypotenuse of a right angled triangle are and

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The ends of the hypotenuse of a right angled triangle are

(6, 0)

and

(0, 6)

. Find the locus of the third vertex.