9709 P12 - Nov 2017 - Q10
1280
The diagram shows part of the curve \(y = \sqrt{5x - 1}\) and the normal to the curve at the point \(P(2, 3)\). This normal meets the x-axis at \(Q\).
(i) Find the equation of the normal at \(P\).
(ii) Find, showing all necessary working, the area of the shaded region.
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