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Question

The centre of the circle x=1+2 cos θ,y=3+2 sin θ, is

A
(1, -3)
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B
(-1, 3)
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C
(1, 3)
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D
None of these
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Solution

The correct option is B (-1, 3)
Given that x+12=cos θ.
Also y32=sin θ.

(x+12)2+(y32)2=1 (x+1)2+(y3)2=4,
whose centre is (-1, 3).


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