If in a\[\Delta ABC,\]the altitudes from the vertices A,B,C on opposite sides are in HP, then sin A, sin B, sin C are in
AIEEE Solved Paper-2005
A)HP
B)Arithmetico-Geometric Progression
C)AP
D)GP
Correct Answer:
C
Solution :
Since, in Similarly, and Since, AD,CE,CF are in HP. arein HP. are in AP. are in AP. Alternate Solution area Similarly, and AD, BE, CF are in HP. are in HP. a, b, c are in AP. \[\Rightarrow \,\sin A,\,\sin B,\,\sin C\] are in AP.