JEE Main2005MathematicsSequences and SeriesActual
If in a triangle ABC , the altitudes from the vertices A , B , C on opposite sides are in H.P., then A, B, C are in
Options
- AG.P.
- BA.P.
- CArithmetic - Geometric Progression
- DH.P.
Correct answer
B. A.P.
Step-by-step solution
= 1 2 p₁ a= 1 2 p₂ b= 1 2 p₃ bp₁, p₂, p₃ are in H.P. 2 a , 2 b , 2 c are in H.P. 1 a , 1 b , 1 c are in H.P a, b, c are in A.P. A, B, C are in A.P.