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If A(x(1), y(1)), B(x(2), y(2)) and C (x...

If `A(x_(1), y_(1)), B(x_(2), y_(2))` and `C (x_(3), y_(3))` are the vertices of a `Delta ABC` and (x, y) be a point on the internal bisector of angle A, then prove that
`b|(x,y,1),(x_(1),y_(1),1),(x_(2),y_(2),1)|+c|(x,y,1),(x_(1),y_(1),1),(x_(3),y_(3),1)|=0`
where, AC = b and AB = c.

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