The line segment joining the points $( 3,3 )$ and ( 7,5 ) is a diameter of a circle. This circle is translated by 3 units in the negative $x$-direction, then reflected in the $x$-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 $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 320$ B $( x - 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 320$ C $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 80$ D $( x - 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 80$ E $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 20$ F $( x - 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 20$
& D & 9 & D
The line segment joining the points $( 3,3 )$ and ( 7,5 ) is a diameter of a circle.
This circle is translated by 3 units in the negative $x$-direction, then reflected in the $x$-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 $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 320$
B $( x - 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 320$
C $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 80$
D $( x - 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 80$
E $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 20$
F $( x - 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 20$