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Let in ∆ A B C the coordinates of A are 0 , 0 . Internal angle bisector of ∠ A B C is x - y + 1 = 0 and mid-point of B C is - 1 , 3 . Then, the ordinate of C is

Correct answer

6

Step-by-step solution

Reflection of A 0 , 0 about the line x - y + 1 = 0 is - 1 , 1 which lies on B C The equation of B C is x = - 1 (line passing through - 1 , 1   &   - 1 , 3 ) ⇒ B is the point of intersection of x = - 1 and x - y + 1 = 0 The point B is - 1 , 0 Hence, the coordinates of C are - 1 , 6 (since, the mid point of B   &   C is - 1 , 3 )

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