Circle And System Of Circles Question 165

Question: The equation of the circle whose diameters have the end points (a, 0) (0, b) is given by

[MP PET 1993]

Options:

A) $ x^{2}+y^{2}-ax-by=0 $

B) $ x^{2}+y^{2}+ax-by=0 $

C) $ x^{2}+y^{2}-ax+by=0 $

D) $ x^{2}+y^{2}+ax+by=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

Required equation is $ (x-a)x+(y-b)y=0 $ or $ x^{2}-ax+y^{2}-by=0 $ .