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Question

The radical centre of the circles x2+y2=1,x2+y2−2x−3=0 and x2+y2−2y−3=0 is

A
(1,1)
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B
(1,1)
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C
(1,1)
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D
(1,1)
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Solution

The correct option is C (1,1)
The equations of the circles are:
x2+y2=1 ....(1)
x2+y22x3=0 ....(2)
x2+y22y3=0 ....(3)
Equation (1)Equation (2)
1+2x+3=0
x=1
Equation (1)Equation (3)
1+2y+3=0
y=1
Radical centre (1,1)

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