tmua.me Extreme Set C Paper 1 · Question 10

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tmua.me Extreme Set C Paper 1 · Q10

Paper 1GeometrySequences & series

A circle meets the parabola $y=x^2$ at exactly three distinct points. Their $x$ -coordinates, in increasing order, form an arithmetic progression with common difference $2$ .

What is the sum of all the distinct possible values of the area of the circle?

\dfrac{25\pi}{4}

10\pi

20\pi

\dfrac{105\pi}{4}

\dfrac{65\pi}{4}

\dfrac{65\pi}{2}

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