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Question

If the middle point of a chord of the circle x2+y2+xy1=0 be (1,1), then the length of the chord is


A

4

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B

2

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C

5

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D

5/2

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Solution

The correct option is D

5/2


Here radius of circle is

AC=(12)2+(12)2+1=32

and CB=(0)2+(12)2=(12)

Now AB2=AC2BC2=3214=54

lengthofchordis52


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