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Beyond Horizon Set 3 Paper 1 · Q11

Paper 1Geometry

A rectangle is drawn in the region enclosed by the curves pp and qq, where

p(x)=10−3x2p(x)=10-3x^2
q(x)=x2−3q(x)=x^2-3

such that the sides of the rectangle are parallel to the xx- and yy-axes.

What is the maximum possible area of the rectangle?

A269\frac{26}{9}
B26399\frac{26\sqrt{39}}{9}
C5393\frac{5\sqrt{39}}{3}
D1063\frac{10\sqrt6}{3}
E5395\sqrt{39}
F10610\sqrt6

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