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Question

The distance from the centre of the circle x2+y2=2x to the common chord of the circles x2+y2+5x−8y+1=0 and x2+y2−3x+7y−25=0 is

A
2
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B
4
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C
3413
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D
2617
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Solution

The correct option is B 2
Centre of the circle x2+y2=2x is (1,0).
Common chord of the other two circles is
8x15y+26=0
Distance from (1,0) to 8x15y+26=0
|8+26|152+82=2

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