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Circle question

2004 · Shift 0 · Q110

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PYQ Library
JEE Main
Mathematics
Circle
2004 · Shift 0 · Q110

Circle question

2004 · Shift 0 · Q110

JEE MainMathematicsCircleMCQ+4 / −1

If a circle passes through the point (a, b) and cuts the circle

{x^2}\, + \,{y^2} = 4

orthogonally, then the locus of its centre is :

A
$2ax\, - 2by\, - ({a^2}\, + \,{b^2} + 4) = 0$
B
$2ax\, + 2by\, - ({a^2}\, + \,{b^2} + 4) = 0$
C
$2ax\, - 2by\, + ({a^2}\, + \,{b^2} + 4) = 0$
D
$2ax\, + 2by\, + ({a^2}\, + \,{b^2} + 4) = 0$

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