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Equation of the circle passing through t...

Equation of the circle passing through the intersection of ellipses `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` and `(x^(2))/(b^(2))+(y^(2))/(a^(2))=1` is

A

`x^(2)+y^(2)=a^(2)`

B

`x^(2)+y^(2)=b^(2)`

C

`x^(2)+y^(2)=(2 a^(2) b^(2))/(a^(2)+b^(2))`

D

`x^(2)+y^(2)=1`

Text Solution

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The correct Answer is:
C
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