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Question

The value of λ, for which the equation 6x2+11xy10y2+x+3+yλ=0 represents a pair of straight lines, is

A
15
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B
0
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C
2
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D
None of these
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Solution

The correct option is D 15
Given, equation will represent a pair of straight lines, if
=abc+2fghaf2bg2ch2=0
h2ab=0
Here, a=6,h=12,b=10,
g=12,f=312,c=λ
=0
λ=5415361=15
Also, h2ab=1214+60=3614>0
Hence, λ=15 is valid.

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