AP EAMCET · Maths · Circle
The circle \(x^2+y^2+4 x-4 y+4=0\) touches...
- A \(X\)-axis only
- B \(Y\)-axis only
- C \(X\)-axis and \(Y\)-axis
- D \(x=y\)
Answer & Solution
Correct Answer
(C) \(X\)-axis and \(Y\)-axis
Step-by-step Solution
Detailed explanation
Given circle (c), \(x^2+y^2+4 x-4 y+4=0\) On comparing with its general form \(x^2+y^2+2 g x+2 f y+c=0\) whose center \(=(-g,-f)\) and radius \(=\sqrt{g^2+f^2-c}\) \(\Rightarrow \quad g=2, f=-2, c=4\) \(\therefore\) Center \(=(-2,2)\) and radius \(=\sqrt{4+4-4}=2\) With the help…
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