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Gresty Academy Paper 2 · Q2

Paper 2Logic & proofGeometry

Which of the following circles is a counterexample to the statement

If a circle has radius greater than 55 then it crosses at least one of the x or y axes

Ax2+y2=36x^2+y^2=36
B(x−10)2+(y−10)2=25(x-10)^2+(y-10)^2=25
C(x−8)2+(y+10)2=49(x-8)^2+(y+10)^2=49
D(x−3)2+y2=16(x-3)^2+y^2=16
E(x+7)2+(y−2)2=36(x+7)^2+(y-2)^2=36

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