Question

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

• A. $x ^ { 2 } + y ^ { 2 } - a x - b y = 0$
• B. $x ^ { 2 } + y ^ { 2 } + a x + b y = 0$
• C. $x ^ { 2 } + y ^ { 2 } - a x + b y = 0$
• D. $x ^ { 2 } + y ^ { 2 } + a x - b y = 0$

Answer 1

Answer: (A)

$x ^ { 2 } + y ^ { 2 } - a x - b y = 0$

Answer 2

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