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If lambdax^(2)-10xy+12y^(2)+5x-16y-3=0, ...

If `lambdax^(2)-10xy+12y^(2)+5x-16y-3=0`, represents a pair of straight lines, then the value of `lambda` is

A

1

B

2

C

`3//2`

D

3

Text Solution

Verified by Experts

The correct Answer is:
2
`a=lambda,h=-5,b=12,g=(5)/(2),f=-8,c=-3`
`:. lambda(12)(-3)+2(-8)((5)/(2))(-5)-lambda(64)-((25)/(4))xx12+3xx25=0`
or `-36lambda+200-64lambda-75+75=0`
or `100lambda=200`
or `lambda=2`
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