AP EAMCET · Maths · Circle
The radius of a circle whose center lies in the fourth quadrant and touches each of the three lines \(x=0, y=0\) and \(3 x+4 y-12=0\), is.... units.
- A \(1\)
- B \(2\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(A) \(1\)
Step-by-step Solution
Detailed explanation
Given lines, \(\begin{aligned} & l_1: x=0 \\ & l_2: y=0\end{aligned}\) \(l_3: 3 x+4 y-12=0\) \(\Rightarrow \quad y=\frac{-3}{4} x+3\) \(\because\) Circle touches \(X\)-axis and \(Y\)-axis. \(\Rightarrow\) Then, perpendicular distance from \(X\)-axis and \(Y\)-axis to center is…
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