MHT CET · Maths · Properties of Triangles
In a triangle ABC with usual notations, if \(3 a=\mathrm{b}+\mathrm{c}\), then \(\cot \frac{B}{2} \cdot \cot \frac{C}{2}=\)
- A \(1\)
- B \(\sqrt{2}\)
- C \(2\)
- D \(3\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
\(\cot \frac{B}{2} \cdot \cot \frac{C}{2} = \sqrt{\frac{s(s-b)}{(s-a)(s-c)}} \cdot \sqrt{\frac{s(s-c)}{(s-a)(s-b)}}\) \(= \frac{s}{s-a}\)
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