2024 IGCSE Additional Mathematics October/November 0606/21 Q7

2024 IGCSE Additional Mathematics October/November 0606/21 Q7

7 marks

A curve has equation \(y=2x\cos x\). The normal to the curve at \((\pi,-2\pi)\) meets the \(x\)-axis and \(y\)-axis at points \(P\) and \(Q\). Find the exact area of triangle \(POQ\).[7]

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Answer:\(\dfrac{25\pi^2}4\) square units.

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