AP EAMCET · Maths · Circle
The radius of any circle touching the lines \(3 x-4 y+5=0,6 x-8 y-9=0\) is
- A 1
- B \(\frac{23}{15}\)
- C \(\frac{20}{19}\)
- D \(\frac{19}{20}\)
Answer & Solution
Correct Answer
(D) \(\frac{19}{20}\)
Step-by-step Solution
Detailed explanation
Given lines are \(3 x-4 y+5=0\) \(\Rightarrow\) \[ \begin{aligned} & 6 x-8 y-9=0 \\ & 3 x-4 y-\frac{9}{2}=0 \end{aligned} \] Given lines (i) and (ii) are parallel to each other and they are touching the required circle \(\therefore\) Distance between lines (i) and (ii) =…
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