TS EAMCET · Maths · Circle
The circle \(4 x^2+4 y^2-12 x-12 y+9=0\)
- A touches both the axes
- B touches the \(x\)-axis only
- C touches the \(y\)-axis only
- D does not touch the axes
Answer & Solution
Correct Answer
(A) touches both the axes
Step-by-step Solution
Detailed explanation
Given circle is \[ \begin{aligned} & & 4 x^2+4 y^2-12 x-12 y+9 & =0 \\ \Rightarrow & & x^2+y^2-3 x-3 y+\frac{9}{4} & =0 \\ \Rightarrow & & \left(x^2-3 x\right)+\left(y^2-3 y\right) & =-\frac{9}{4} \end{aligned} \]…
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