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If 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 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.

A

`(7sqrt(2))/(3)`

B

`(14sqrt(2))/(3)`

C

`(5sqrt(2))/(3)`

D

None of these

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The correct Answer is:
B
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