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If the lines (p-q)x^2+2(p+q)xy+(q-p)y^2=...

If the lines `(p-q)x^2+2(p+q)xy+(q-p)y^2=0` are mutually perpendicular , then

A

`p=q`

B

`p=0`

C

`q=0`

D

p and q may have any value

Text Solution

Verified by Experts

The correct Answer is:
D
Given , `(p-q)x^2+2(p+q)xy+(q-p)y^2=0`.....(i)
Given , lines represented by Eq.(i) are perpendicular to each other .
`therefore` Coefficient of `x^2+` Coefficient of `y^2=0`
`rArr p-q+q-p=0`
`therefore` p and q may have any value.
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