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The slopes of lines represented by x^2+2...

The slopes of lines represented by `x^2+2hxy+2y^2=0` are in the ratio `1:2`, then h equals .

A

`+-(1)/(2)`

B

`+-(3)/(2)`

C

`+-1`

D

`+-3`

Text Solution

Verified by Experts

The correct Answer is:
B
`because m+2m=(-2h)/(2)=-h` and `mxx2m=(1)/(2)`
`rArr 3m=-h and 2m^2=(1)/(2)`
`rArr m=-(h)/(3) and m^2=(1)w/(4)`
`therefore (-(h)/(3))^2=(1)/(4)rArr h^2=(9)/(4)" " [because m=(-h)/(6)]`
`rArr h=+-3//2` .
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