Trigonometric Equations Question 268
Question: If in a $ \Delta ABC $ , the altitudes from the vertices A, B, C on opposite sides are in H.P. then $ \sin A,,\sin B,\sin C $ are in
[AIEEE 2005]
Options:
A) A.G.P.
B) H.P.
C) G.P.
D) A.P.
Show Answer
Answer:
Correct Answer: D
Solution:
- $ \frac{2\Delta }{a},\frac{2\Delta }{b},\frac{2\Delta }{c} $ are in H.P. Þ $ \frac{1}{a},\frac{1}{b},\frac{1}{c} $ are in H.P. Þ $ a,b,c $ are in A.P. Þ $ \sin A,\sin B,\sin C $ are in A.P.