9709 P12 - Jun 2013 - Q11
1296
The diagram shows the curve \(y = \sqrt{1 + 4x}\), which intersects the x-axis at \(A\) and the y-axis at \(B\). The normal to the curve at \(B\) meets the x-axis at \(C\). Find
(i) the equation of \(BC\),
(ii) the area of the shaded region.
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