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 BC 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 BC is

TestHub · Accepted Answer

Image of A ( 1 , 3 ) in x + y = 2 is (-1, 1), which lies on BC. BC passes through ( − 1 , 1 ) and C ( − 5 2 ​ , − 5 2 ​ ) : slope = − 1 + 5 2 ​ 1 + 5 2 ​ ​ = − 3 7 ​ , so y − 1 = − 3 7 ​ ( x + 1 ) ⇒ 7 x + 3 y + 4 = 0 .

Mathematics - Straight Lines Question with Solution | TestHub

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