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tmua.me Extreme Set C Paper 1 · Q13

Paper 1Geometry

Three consecutive vertices A,B,CA,B,C of a parallelogram ABCDABCD lie on the circle

x2+y2=1.x^2+y^2=1.

The fourth vertex satisfies OD=5OD=\sqrt5, where OO is the origin.

If the area of the parallelogram is KK, what is the greatest possible value of K2K^2?

A2+52+\sqrt5
B44
C66
D274\dfrac{27}{4}
E88
F2+252+2\sqrt5

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