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MioMath 2024 Paper 1 · Q9

Paper 1Geometry

Let RR be the set of all points (x,y)(x,y) in the xyxy-plane such that:

{(x+y)2−6(x+y)+8≤0,(x−y)2+4(x−y)+3≤0.\begin{cases} (x+y)^2-6(x+y)+8\le0,\\ (x-y)^2+4(x-y)+3\le0. \end{cases}

(Note: The boundaries of the region are included in RR.)

Find the area of RR.

A1
B2
C4
D6
E8

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