AP EAMCET · Maths · Straight Lines
In \(\triangle \mathrm{ABC}\), if \(\mathrm{AB}: \mathrm{BC}: \mathrm{CA}=6: 4: 5\), then \(\mathrm{R}: r=\)
- A \(16: 9\)
- B \(16: 7\)
- C \(12: 7\)
- D \(12: 9\)
Answer & Solution
Correct Answer
(B) \(16: 7\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } c: a: b=6: 4: 5 \\ & \Rightarrow c=6 k, a=4 k, b=5 k \\ & \mathrm{~s}=\frac{15}{2} k, 4 r=\frac{\Delta}{s}=\frac{2 \Delta}{15 k}, \mathrm{R}=\frac{a b c}{4 \Delta} \\ & \Delta^2=\frac{15}{2} k \times \frac{3 k}{2} \times \frac{7 k}{2} \times \frac{5…
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