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A triangle ABC is given where vertex A i...

A triangle ABC is given where vertex A is (1, 1) and the orthocenter is (2, 4). Also sides AB and BC are members of the family of lines `ax + by + c = 0` where `a, b, c` are in `A.P.` Based on above written, solve the following questions. The vertex B is

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ax+by+c=0 -(1)
2b=a+c
a-2b+c=0 -(2)
`x/1=y/-2=1/1`
co-ordinates of B x=1 and y=-2
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