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If one of the lines of the pair a x^2+2h...

If one of the lines of the pair `a x^2+2h x y+b y^2=0` bisects the angle between the positive direction of the axes. Then find the relation for `a ,b` and `h`.

A

`a+b=2|h|`

B

`a+b=-2h`

C

`a-b=2|h|`

D

`(a-b)^(2)=4h^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Clearly, y = x is one of the lines given by the equation
`ax^(2)+2hxy+by^(2)=0`
`therefore" "ax^(2)+2hx^(2)+bx^(2)=0" [Putting y = x]"`
`rArr" "a+b=-2h`
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