The equation of circle which touches the axes of coordinates and the line fracx3+y4 and whose centre lies in the first quadrant is x2+y2−2cx−2cy+c2=0, where c is
A
1
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B
2
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C
3
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D
6
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Solution
The correct option is D 6 Its centre is of type (c, c) and radius is ∣∣4c+3c−125∣∣=√c2⇒c=6.