JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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Application +4 | -1

The equation of the circle on the common chord of the circles

{\left( {x - a} \right)^2} + {y^2} = {a^2}

and

{x^2} + {\left( {y + b} \right)^2} = {b^2}

as diameter, is

View answer and explanation

Correct option: C

\left( {{a^2} + {b^2}} \right)\left( {{x^2} + {y^2}} \right) = 2ab\left( {bx - ay} \right)

Option C (

\left( {{a^2} + {b^2}} \right)\left( {{x^2} + {y^2}} \right) = 2ab\left( {bx - ay} \right)

) is correct because it represents the equation of the circle on the common chord as diameter.

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