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Q.

The internal angle bisector of angle C of a triangle ABC with sides AB, AC and BC are y = 0,
3x+2y=0 and 2x+3y+6=0 respectively, is px + qy + 6 = 0. Then value of p + q is _______

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answer is 10.

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Detailed Solution

Bisector at |3x+2y|13=|2x+3y+6|13 

xy6=0 and 5x+5y+6=0

According to given equations of sides, internal angle bisector at C will have negative slope.
Image of A wil lie on BC with respect to both bisectors.

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