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.