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Q.

In ABC The coordinates of the vertex A (3,1)If the equation of the median through B is 2x+y3=0 and the equation of the bisector of angle  C is 7x4y1=0 then the equation of the side BC is

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a

7x3y=6

b

15x+y=50

c

18xy=49

d

4xy=7

answer is B.

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Detailed Solution

Vertex A (3,1)

Median through the vertex B is 2x+y3=0

Vertex C is (h,k)

Median through B meets midpoint of  AC

Midpoint=α,3-2α3 and midpoint of AC is =h-32,k+12

α,3-2α3=h-32,k+12

h=2α+3 and k=3-4α3

(h,k) lies on angle bisector 7x4y1=0 then 

72α+3-43-4α3-1=0

α=-1217

point C=2717,3317 and Image of vertex A with respect to angle bisector is lies on line BC

then find BC equation

Side BC is 18xy=49

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