WBJEE · Maths · Sequences and Series
If in a triangle \(A B C, \sin A, \sin B, \sin C\) are in A.P., then
- A the altitudes are in A.P.
- B the altitudes are in H.P.
- C the angles are in A.P.
- D the angles are in H.P.
Answer & Solution
Correct Answer
(B) the altitudes are in H.P.
Step-by-step Solution
Detailed explanation
Hints: \(\frac{1}{2} \mathrm{ap}_1=\frac{1}{2} \mathrm{bp}_2=\frac{1}{2} \mathrm{cp}_3=\Delta\) \(\mathrm{a}=\frac{2 \Delta}{\mathrm{p}_1}\left|\mathrm{~b}=\frac{2 \Delta}{\mathrm{p}_2}\right| \mathrm{c}=\frac{2 \Delta}{\mathrm{p} 3}\) H.P.
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