2024 IGCSE Additional Mathematics May/June 0606/13 Q8

2024 IGCSE Additional Mathematics May/June 0606/13 Q8

7 marks

The line \(L\) is the normal to the curve \(y=3(5x+6)^{\frac12}\) at the point where \(x=2\). The point \((-2,k)\), where \(k\) is a constant, lies on \(L\). Find the exact value of \(k\).[7]

Solution:

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Answer:\(k=\dfrac{212}{15}\)

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