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The combined equation of lines 2x+y+3=0 ...

The combined equation of lines `2x+y+3=0` and `x-y+4=0` is

A

`x^2+2y^2+10y-12y+5=0`

B

`x^2+y^2+2x+3y+5=0`

C

`2x^2-xy-y^2+11x+y+12=0`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
The combined equation of `2x+y+3=0` and `x-y+4=0` is
`(2x+y+3)(x-y+4)=0`
`rArr 2x^2-xy-y^2+11x+y+12=0` .
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