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If x = 2 + 3 cos θ and y = 1 -3 sin θ represent a circle then the centre and radius is

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If x = 2 + 3 cos θ and y = 1 -3 sin θ represent a circle then the centre and radius is 

(1) (2, 1), 3 

(2) (-2, -1), 3 

(3) (2, 1), 9 

(4) (1,2), 1/3

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1 Answer

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Correct option (1) (2, 1), 3

Explanation:

(x – 2)2 = 9 cos2 θ and (y – 1)2 = 9 sin2 θ

⇒ (x – 2)2 + (y – 1)2 = 9

Centre (2, 1) and r = 3 

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