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Question

The equation of the diameter of the circle x2+y2+2x4y11=0 which bisects the chords intercepted on the line 2xy+3=0 is


A

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B

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C

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D

x+2y+3=0

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Solution

The correct option is C


We know that the diameter will be perpendicular to the chord because it bisects the chord. Hence the equation of diameter x+2y+k=0 .............(i)

But (i) also passes through the centre of circle (-1,2). Therefore, 1+4+k=0k+3.

Hence the required equation is x+2y3=0


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