If `A(x_1, y_1), B (x_2, y_2) and C (x_3, y_3)` are the vertices of a `DeltaABC 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`.

Options

A. a line passing through A and dividing BC in a ratio of (n-1):1
B. a line passing through B and dividing AC in a ratio of 1:(n-1)
C. a line passing through B and dividing AC in a ratio of (n-1):1
D. a line passing through B and dividing AC in a ratio of 1:n

Answer

B