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Q.

If one of the diameters of the circle x2+y2-10x+4y+13=0 is a chord of another circle C, whose center is the point of intersection of the lines 2x+ 3y=12 and 3x-2y=5, then the radius of the circle C is

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answer is 6.

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Detailed Solution

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2x + 3y = 12

3x  2y = 5

13 x = 39

x = 3, y = 2

Center of given circle is (5, 2)

Radius 25+4-13=4

CM=4+16=52

CP=16+20=6

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