The locus of the centres of the circles which cut the circles $x^{2} + y^{2} + 4 x - 6 y + 9 = 0 a n d x^{2} + y^{2} - 5 x + 4 y - 2 = 0$ orthogonally is

9x + 10y - 7 = 0

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x - y + 2 = 0

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9x - 10y + 11 = 0

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9x + 10y + 7 = 0

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Solution

The correct option is C
9x - 10y + 11 = 0

Required equation is $S - S^{1} = 0$
$\Rightarrow 9 x - 10 y + 11 = 0$

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The locus of the centres of the circles which cut the circles x2+y2+4x−6y+9=0 and x2+y2−5x+4y−2=0 orthogonally is

The correct option is C 9x - 10y + 11 = 0 Required equation is S−S1=0 ⇒9x−10y+11=0

The locus of the centres of the circles which cut the circles $x^{2} + y^{2} + 4 x - 6 y + 9 = 0 a n d x^{2} + y^{2} - 5 x + 4 y - 2 = 0$ orthogonally is

The correct option is C
9x - 10y + 11 = 0

Required equation is $S - S^{1} = 0$
$\Rightarrow 9 x - 10 y + 11 = 0$