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Question

Find the angle between the line given by the
equation λy2+(1λ2) xyλx2=0 is

A
45o
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B
60o
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C
90o
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D
15o
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Solution

The correct option is C 90o
Pair of straight lines through origin.

y=m1x,y=m2x

(ym1x)(ym2x)=0

y2(m1+m2)xy+m1m2x2=0

comparing with λy2+(1λ2)xyλx2=0
1λ=(m1+m2)(1λ2)=m1m2λ

m1+m2=λ21λm1m2=1
lines are having 90o angle between them.

C is correct

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