TS EAMCET · Maths · Straight Lines
If the straight lines \(3 x-4 y+4=0\) and \(6 x-8 y-7=0\) are the tangents to the same circle, then the area of that circle (in square units) is
- A \(\frac{9 \pi}{4}\)
- B \(\frac{9 \pi}{16}\)
- C \(\frac{25 \pi}{9}\)
- D \(\frac{121 \pi}{25}\)
Answer & Solution
Correct Answer
(B) \(\frac{9 \pi}{16}\)
Step-by-step Solution
Detailed explanation
Straight line \(3 x-4 y+4=0\) and \(\quad 6 x-8 y-7=0\) are tangent of same circle \(\therefore \quad 3 x-4 y=-4 \text { and } 3 x-4 y=\frac{7}{2}\) Tangent are parallels \(\therefore\) Distance between tangent are diameter of circle…
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