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Answer:
Circle (ii) shifted 5 units left and 6 units up to get the circle (iii).
The radius of the circle is 2 units.
Step-by-step explanation:
The standard form of a circle is
...(i)
where, (h,k) is center and r is radius of the circle.
Consider the given equations of the circle are
...(ii)
...(iii)
From (i) and (ii), we get
So, the center of circle (ii) is (0,0) and radius is 2.
From (i) and (iii), we get
So, the center of circle (iii) is (-5,6) and radius is 2.
Therefore, the circle (ii) shifted 5 units left and 6 units up to get the circle (iii). The radius of the circle is 2 units.