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Question

The equation of circle with centre (1,1) and radius 4 is given by ________ .

A
(x4)2 + (y4)2 = 1
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B
(x1)2 + (y1)2 = 16
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C
(x+1)2 + (y+1)2 = 4
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D
(x1)2 + (y1)2 = 16
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Solution

The correct option is B (x1)2 + (y1)2 = 16

The centre of the circle is O(1,1) and radius is 4 units.

General equation of a circle is given by (xh)2+(xk)2=r2Here, (h,k)=(1,1) and r=4
The equation of circle is (x1)2 + (y1)2 = 42(x1)2 + (y1)2 = 16

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