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Equation of the sides overset(harr)("BC...

Equation of the sides `overset(harr)("BC"), overset(harr)("CA"), overset(harr)("AB")` of a triangle ABC are `U_(r ) = a_(r )x+b_(r )y+c_(r )=0, r=1,2,3` respectively then equation of line parallel to `overset(harr)("BC")` and passing through A is

A

`(a_(3)b_(1)-a_(1)b_(3))U_(2)+(a_(2)b_(1)-a_(1)b_(2))U_(3)=0`

B

`(a_(3)b_(1)-a_(1)b_(3))U_(2)-(a_(2)b_(1)-a_(1)b_(2))U_(3)=0`

C

`(a_(3)b_(1)+a_(1)b_(3))U_(2)+(a_(2)b_(1)+a_(1)b_(2))U_(3)=0`

D

`(a_(3)b_(1)+a_(1)b_(3))U_(2)-(a_(2)b_(1)+a_(1)b_(2))U_(3)=0`

Text Solution

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The correct Answer is:
B
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