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Find the combined equation of the pair o...

Find the combined equation of the pair of lines through the point (1, 0) and parallel to the lines represented by `2x^2-x y-y^2=0`

A

`2x^2-xy-y^2-x+y-1=0`

B

`2y^2+xy-x^2+2x-y-1=0`

C

`2y^2+xy-x^2-x-y+2=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
The combined equation of the pair of lines through the origin and perpendicular to the lines given by `2x^2-xy-y^2=0` is `2y^2+xy-x^2=0`
Shifting the origin at `(1,0)` the equation of the required lines is `2y^2+(x-1)(y-0)-(x-1)^2=0`
`rArr 2y^2+xy-x^2+2x-y-1=0`
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