`x` coordinates of two points B and C are the roots of equation `x^2 +4x+3=0` and their `y` coordinates are the roots of equation `x^2 -x-6=0`. If `x` coordinate of B is less than the `x` coordinate of C and `y` coordinate of B is greater than the `y` coordinate of C and coordinates of a third point A be `(3, -5)`, find the length of the bisector of the interior angle at A.

Options

A. `(7sqrt(2))/(3)`
B. `(14sqrt(2))/(3)`
C. `(5sqrt(2))/(3)`
D. None of these

Answer

B