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JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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The radical axis of the circles x2+y2+2gx+2fy+c=0x^2+y^2+2 g x+2 f y+c=0 and 2(x2+y2)+3x+2y+2c=02\left(x^2+y^2\right)+3 x+2 y+2 c=0 touches the circle x2+y2+2x+2y+1=0x^2+y^2+2 x+2 y+1=0, if
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Correct option: B
g=43g=\frac{4}{3} and f=12f=\frac{1}{2}
Option B (g=43g=\frac{4}{3} and f=12f=\frac{1}{2}) is correct because these values satisfy the condition for the radical axis to touch the third circle.

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