Question

The ends of the hypotenuse of a right angled triangle are (0,6) and (6,0). Find the equation of
the locus of its third vertex.​

Answer 1

Answer:

x^2+y^2-6x-6y=0

Step-by-step explanation:

Let ABC is a right angled triangle whose hypotenuse is

AC and angle B=90°

coordinate A(6,0) C(0,6)

Let coordinate of B (h,k)

slope of BA (M1)=(0-K)/(6-h)

slope of BC (M2)=(6-K)/(0-h)

Angle between BA and BC Is 90°.