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Q.

Let L1 be a straight line passing through the origin and L2 be  the straight line x+y=1 . If the intercepts made by the circle x2+y2-x+3y=0 on L1 and L2 are equal, then which of the  following equation can represent L1 ?

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a

x+7 y=0

b

x- y=0

c

x-7 y=0

d

Both (a) and (b)

answer is D.

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Detailed Solution

Centre of the circle is 12,-32 .  Its distance from the line x+y-1=0 is 2 Let the required line be mx-y=0∴m2+32m2+1=2⇒m=1,-1/7∴ The lines are x-y=0,x+7y=0
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