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Asher Falcon TMUA Paper 1 · Q9

Paper 1Geometry

What is the area of the region satisfied by the two inequalities

21+3y2≤−3x(x+8),y≤−∣x+4∣?21+3y^2\le-3x(x+8),\qquad y\le-|x+4|?
Aπ\pi
B9π9\pi
C3π4\frac{3\pi}4
D9π2\frac{9\pi}2
E9π4\frac{9\pi}4
F92\frac9{\sqrt2}

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