Find the following. A ( 1 , 3 ) and C ( − 5 2 , − 5 2 ) are the vertices of a △ A BC and the equation of the angle bisector of ∠ A BC is x + y = 2 . Equation of side AB is

Question

Find the following. A ( 1 , 3 ) and C ( − 5 2 ​ , − 5 2 ​ ) are the vertices of a △ A BC and the equation of the angle bisector of ∠ A BC is x + y = 2 . Equation of side AB is

TestHub · Accepted Answer

Since A ≡ ( 1 , 3 ) and B ≡ ( − 2 5 ​ , 2 9 ​ ) , slope of AB = − 2 5 ​ − 1 2 9 ​ − 3 ​ = − 7 3 ​ , so y − 3 = − 7 3 ​ ( x − 1 ) . Equation of AB is 3 x + 7 y = 24 .

Mathematics - Straight Lines Question with Solution | TestHub

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