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Question

If x2+αy2+2βy=a2 represents a pair of perpendicular straight lines, then

A
α=1,β=a
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B
α=1,β=a
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C
α=1,β=a
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D
α=1,β=a
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Solution

The correct options are
B α=1,β=a
D α=1,β=a
Co-efficient of x2+Co-efficient of y2=0
1+α=0
α=1
Also, =0
1.α.(a2)+01.β200=0
β2=α.a2
β=±a
Hence, α=1,β=±a

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