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Nusret Balcı TMUA Paper 1 · Q8

Paper 1GeometryAlgebra

Point PP lies on the circle with equation:

(x−1)2+(y−2)2=4(x-1)^2+(y-2)^2=4

Point QQ lies on the circle with equation:

(x−k)2+(y−14)2=9(x-k)^2+(y-14)^2=9

where kk is a constant and k>0k>0.

The maximum possible length of the line segment PQPQ is 18. What is the value of kk?

A44
B55
C66
D88
E1313
F1414
G11+1311+\sqrt{13}

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