Question

Find the equation of a circle which has A(1,3) and B(4,5) as opposite ends of its diameter.Find the perpendicular diameter also

Answer 1

Answer:

Points are (1,3) and (4,5)

Centre will be at ( (4+1)/2, (3+5)/2 ) = (5/2, 4)

Radius = squrt {(4-1)^2+(5-3)^2}/2

Radius = squrt (13) /2

Equation

(X-5/2)^2 + (Y-4)^2 = {squrt (13)/2}^2

(X-5/2)^2 + (y-4)^2 = 13/4

I hope this is helpful.