Harmonic Mean Quiz PDF: Questions and Answers - 51

MCQ 251: H₁,H₂,…,Hⁿ are said to be n harmonic means between a and b if a,H₁,H₂…,Hⁿ,b form

1. H.P
2. A.P
3. G.P
4. Harmonic series

MCQ 252: 1 + tanαtan2α =

1. −sec2α
2. −cosec2α
3. cosec2α
4. sec2α

MCQ 253: Csc²θ/2-cot²θ/2 =

1. 1
2. −1
3. 0
4. sec²2θ

MCQ 254: If a and d are the first term and the common difference of the A.P respectively, then the nth term of corresponding H.P is

1. aⁿ = a+(n-1)d
2. aⁿ = 1/a+(n-1)d
3. aⁿ = a/1+(n-1)d
4. aⁿ = a/a+(n-1)d

MCQ 255: If n is the total number of geometric mean between a and b than the nth geometric mean between a and b is

1. a(b/a)^n/n+1
2. a(b/a)^m/n+1
3. b(a/b)^m/n+1
4. ab