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Question

The equation of circle with centre (1, 2) and tangent x + y - 5 = 0 is

A
x2+y2+2x4y+6=0
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B
x2+y22x4y+3=0
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C
x2+y22x+4y+8=0
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D
x2+y22x4y+8=0
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Solution

The correct option is B x2+y22x4y+3=0
Radius of circle = perpendicular distance of tangent from the centre of circle

r=1+251+1=2

Hence the equation of required circle is
(x1)2+(y2)2=(2)2
x2+y22x4y+3=0.


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