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Question
The equations of the circles touching both the axes and passing through the point (1, 2) are
The equations of the circles touching both the axes and passing through the point (1, 2) are
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Solution
The correct option is A
Equation of circle touching both the axes will be x2+y2−2ax−2ay+a2=0
Also it passes through (1, 2), therefore a = 5, 1.
Hence the equations of circles are
x2+y2−2x−2y+1=0 and x2+y2−10x−10y+25=0.
Equation of circle touching both the axes will be x2+y2−2ax−2ay+a2=0
Also it passes through (1, 2), therefore a = 5, 1.
Hence the equations of circles are
x2+y2−2x−2y+1=0 and x2+y2−10x−10y+25=0.
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