A) x-axis only
B) y- axis only
C) Both x and y- axis
D) Does not touch any axis
Correct Answer: B
Solution :
The given equation can be written as\[{{(x-4)}^{2}}+{{(y+2)}^{2}}={{4}^{2}}\]. We know that the standard equation of the circle with centre (h, k) is \[{{(x-h)}^{2}}+{{(y-k)}^{2}}={{r}^{2}}.\] Comparing the given equation with the standard equation, we get centre º \[(4,\,-2)\] and radius = 4. Since co-ordinates of the centre of the circle are\[(4,\,-2)\], therefore the given circle touches y-axis only.
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