In a triangle PQR, let a = QR , b = RP and c = PQ . If | a | = 3, | b | = 4 and a ( c - b ) c ( a - b ) = | a | | a |+| b | , then the value of | a b |^2 is _____

JEE Advanced 2020 Mathematics question

In a triangle , let , and . If

|| = 3, || = 4 and = ,

then the value of is

Answer: 108

The sides of a triangle taken in order satisfy , so . Numerator: . Denominator: $ c·( a- b) = -( a+ b)·(

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Question ID VK-033783