Question -24

Geometry Level 3

The vertices of a triangle are A ( − 1 , − 7 ) A(-1,-7) , B ( 5 , 1 ) B(5,1) and C ( 1 , 4 ) C(1,4) . Find the equation of the bisector of ∠ A B C \angle ABC .

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None of the given choices. x − 7 y + 2 = 0 x-7y+2=0 x − 7 y − 2 = 0 x-7y-2=0 x + 7 y − 2 = 0 x+7y-2=0

Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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2 solutions

Guru Prasaadh
Mar 12, 2015

check for the options actually nothing except 1st option passes through point b and since using IQ that it is a 40 points problem it must have an answer

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Akash Deep
Apr 17, 2015

If u really want to solve it then find BC and AB and find their ratio . Let the angle bisector cut AC at M then find coordinates of M using section formula and by angle bisector theorem CM/AM is equal to the ratio of BC and AB and we get coordinates of 2 points so equation of line can be written.

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