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Q.

The locus of the center of the circles such that the point (2,3) is the midpoint of the chord 5x +2y = 16 is

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a

2x−5y+11=0

b

2x+5y−11=0

c

2x+5y+11=0

d

none of these

answer is A.

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Detailed Solution

Slope of the given line =−52 ∴ −523+f2+g=−1  or  15+5f=4+2g  Therefore, the locus is 2x−5y+11=0.
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