Circle And System Of Circles Question 279

Question: A circle which passes through origin and cuts intercepts on axes a and b, the equation of circle is

[RPET 1991]

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:

Centre is $ ( \frac{a}{2},\ \frac{b}{2} ) $ and radius $ =\sqrt{\frac{a^{2}+b^{2}}{4}} $