2022 VJC P1 Q1

2022 VJC P1 Q1

5 marks
Prelims

A curve has equation \(2x+y+2={{\left( x+y \right)}^{2}}+\frac{{{x}^{2}}}{1+{{x}^{2}}}\).

Find the equation of the normal to the curve at point \(\left( 0,2 \right)\).[5]

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Answer:\(y=\frac{3}{2}x+2\)

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