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? A 2 B 3 C 4 D 4.5 E 5 F 6 G The straight line is not uniquely determined by the information given, so there is more than one possible point of intersection. $\mathbf { H }$ There is no straight line that bisects both the area of the circle and the area of the square.
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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?
A 2
B 3
C 4
D 4.5
E 5
F 6
G The straight line is not uniquely determined by the information given, so there is more than one possible point of intersection.\\
$\mathbf { H }$ There is no straight line that bisects both the area of the circle and the area of the square.