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JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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The limiting points of the coaxial system containing the two circles x2+y2+2x−2y+2=0x^2+y^2+2 x-2 y+2=0 and 25(x2+y2)−10x−80y+65=025\left(x^2+y^2\right)-10 x-80 y+65=0 are
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Correct option: C
(−1,1)(1/5,8/5)(-1,1)(1 / 5,8 / 5)
Option C ((−1,1)(1/5,8/5)(-1,1)(1 / 5,8 / 5)) is correct because these are the limiting points of the coaxial system containing the two given circles.

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