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Questions  

If the segment of the line between the lines xy+2=0 and x+y+4=0 is bisected at the origin, equation of the line is 

a
y+3x=0
b
x+3y=0
c
y-3x=0
d
x-3y=0

detailed solution

Correct option is C

Let the required line meet the given lines at α1,β1 and α2,β2 respectively.then α1−β1,+2=0,   α2+β2+4=0Also α1+α22=0,   β1+β22=0⇒ α2=−1,β2=−3 and α1=1,β1=3Equation of the line passing through (1, 3) and (0, 0) is           y=3x     ⇒  y-3x=0

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