AP EAMCET · Maths · Circle
The circle touching the coordinate axes with its centre lying on \(x-2 y-3=0\) is
- A \(x^2+y^2-2 x+2 y+1=0\)
- B \(x^2+y^2+2 x-2 y+1=0\)
- C \(x^2+y^2+6 x+6 y-9=0\)
- D \(x^2+y^2-6 x-6 y+9=0\)
Answer & Solution
Correct Answer
(A) \(x^2+y^2-2 x+2 y+1=0\)
Step-by-step Solution
Detailed explanation
The circle touches the co-ordinate axes and distance of circle (radius) from axes is same If centre is \((a, b)\) and radius \(r\) \(\begin{aligned} & |a|=|b|=r \\ & (x-a)^2+(y-b)^2=r^2 \\ & (a, b) \text { satisfies } x-2 y-3=0\end{aligned}\)…
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