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Consider a triangle ABC with vertex A(2,...

Consider a triangle ABC with vertex `A(2, -4)`. The internal bisectors of the angle B and C are `x+y=2` and`x- 3y = 6` respectively. Let the two bisectors meet at `I`.
If `(x_(1), y_(1)) and (x_(2), y_(2))` are the co-ordinates of the point B and C respectively, then the value of `(x_(1)x_(2)+y_(1)y_(2))` is equal to :

A

4

B

5

C

6

D

8

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The correct Answer is:
A
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