TMUA Official 2021 Paper 2 · Question 7

A circle has equation $(x-9)^2+(y+2)^2=4$ .

A square has vertices at $(1,0)$ , $(1,2)$ , $(-1,2)$ and $(-1,0)$ .

A straight line bisects both the area of the circle and the area of the square.

What is the $x$ -coordinate of the point where this straight line meets the $x$ -axis?

2

3

4

4.5

5

6

GThe straight line is not uniquely determined by the information given, so there is more than one possible point of intersection.

HThere is no straight line that bisects both the area of the circle and the area of the square.

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