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Question

The equation to the circle with centre (2, 1) and touching the line 3x + 4y = 5 is

A
x2+y24x2y+5=0
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B
x2+y24x2y5=0
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C
x2+y24x2y+4=0
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D
x2+y24x2y4=0
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Solution

The correct option is C x2+y24x2y+4=0
Centre: (2, 1)
Radius is distance of point (2, 1) from 3x + 4y = 5

i.e., 3.2+4.159+16 6+455=1

circle is (x2)2+(y1)2=1
x2+y24x2y+4=0.


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