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Official 2016 Paper 1 · Q9

Paper 1GeometryAlgebra

The line segment joining the points (3,3)(3,3) and (7,5)(7,5) is a diameter of a circle.

This circle is translated by 3 units in the negative xx-direction, then reflected in the xx-axis, and then enlarged by a scale factor of 4 about the centre of the resulting circle.

The equation of the final circle is

A(x−2)2+(y−4)2=320(x-2)^2+(y-4)^2=320
B(x−2)2+(y+4)2=320(x-2)^2+(y+4)^2=320
C(x−2)2+(y−4)2=80(x-2)^2+(y-4)^2=80
D(x−2)2+(y+4)2=80(x-2)^2+(y+4)^2=80
E(x−2)2+(y−4)2=20(x-2)^2+(y-4)^2=20
F(x−2)2+(y+4)2=20(x-2)^2+(y+4)^2=20

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