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The locus of the center of the circle su...

The locus of the center of the circle such that the point (2, 3) is the midpoint of the chord `5x+2y=16` is (a)`2x-5y+11=0` (b) `2x+5y-11=0` (c)`2x+5y+11=0` (d) none of these

A

`2x-5y+11=0`

B

`2x+5y-11=0`

C

`2x+5y+11=0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
1

Slope of the given line `= - (5)/(2)`
`:. (-(5)/(2))((3+f)/(2+g))=-1`
or `15+5f=4+2g`
Therefore, the locus is `2x-5+11=0`
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