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Official 2023 Paper 1 · Q13

Paper 1GeometryAlgebra

Point PP lies on the circle with equation (x−2)2+(y−1)2=16(x-2)^2+(y-1)^2=16.

Point QQ lies on the circle with equation (x−4)2+(y+5)2=16(x-4)^2+(y+5)^2=16.

What is the maximum possible length of PQPQ?

A1010
B1414
C1616
D2342\sqrt{34}
E10210\sqrt2
F8+2108+2\sqrt{10}
G16+2616+2\sqrt6

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