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The lines represents by ax^2+2hxy+by^2=0...

The lines represents by `ax^2+2hxy+by^2=0` are perpendicular to each other , if

A

`h^2=a+b`

B

`a+b=0`

C

`h^2=ab`

D

`h=0`

Text Solution

Verified by Experts

The correct Answer is:
B
We know that , if the lines are perpendicular to eachs other, then `theta=90^(@)`.
`rArr tan 90^@=(2sqrt(h^2-ab))/(a+b)`
`therefore a+b=0" "[because tan90^@=oo]`
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