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9709 P11 - Jun 2019 - Q2 - 5 marks
318

The line \(4y = x + c\), where \(c\) is a constant, is a tangent to the curve \(y^2 = x + 3\) at the point \(P\) on the curve.

(i) Find the value of \(c\).

(ii) Find the coordinates of \(P\).

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