Coordinate Geometry

Geometry Level 2

Let A B C ABC be a triangle such that the coordinates of A A are ( 3 , 1 ) (-3,1) . Equation of the median through B B is 2 x + y 3 = 0 2x+y-3=0 and equation of the angle bisector of C C is 7 x 4 y 1 = 0 7x-4y-1=0 . Then find the equation of line A B AB .

2 x + y 3 = 0 2x+y-3=0 2 x 3 y + 9 = 0 2x-3y+9=0 4 x + 7 y + 5 = 0 4x+7y+5=0 18 x y 49 = 0 18x-y-49=0

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