Consider a triangle \( A B C \) with vertex \( A(2,-4) \). Then internal bisectors of the angles....

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Consider a triangle \( A B C \) with vertex \( A(2,-4) \). Then internal
\( \mathrm{P} \)
bisectors of the angles \( B \) and \( C \) are \( x+y=2 \) and \( x-3 y=6 \) respectively. Let the two bisectors meet at \( I \).

If \( (a, b) \) is incentre of the triangle \( A B C \) then \( (a+b) \) has the value equal to:
(1) 1
(2) 2
(3) 3
(4) 4
.


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