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If 6a^2-3b^2-c^2+7ab-ac+4bc=0 then the ...

If `6a^2-3b^2-c^2+7ab-ac+4bc=0` then the family of lines `ax+by+c=0,|a|+|b| != 0` can be concurrent at concurrent (A) (-2,3) (B) (3,-1) (C) (2,3) (D) (-3,1)

A

`(-2,-3)`

B

`(3,-1)`

C

`(2,3)`

D

`(-3,1)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
`6a^(2) -3b^(2) -c^(2) +7ab -ac +4bc =0`
`:. (2a +3b -c) (3a -b+c) =0`
`rArr -2a -3b +c=0` or `3a -b +c =0`
`:.` lines are concurrent at `(-2,-3)` or `(3,-1)`
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