Question

Let a, b, c be distinct real numbers which are in G.P. If ∈ is such that a + x, b + x, c + x, are in H.P., then equals  

Solution

Correct option is

b

As a, b, c are distinct and are in G.P., a, b, c, cannot be in A.P.

  

SIMILAR QUESTIONS

Q1

Given a sequence of four numbers such that the first three are in G.P. and the last three are in A.P. with common difference 6. If the first and the fourth numbers are equals, then common ratio of the G.P. is

Q3
Q4

If a, b, c are three distinct numbers such that a, b, c are in A.P. and a, c – b,  b – a are in G.P. then the ratio a : b : c equals

Q5

  

                        

Q6

Let n ∈ N, n > 25. Let A, G, H denote the arithmetic mean, geometric mean and harmonic mean of 25 and n. The least value of n for which A, G, H ∈ {25, 26, …, n}, is

Q10

Let a, b, c be in A.P., and (b – c) x+ (c – a) x +(a – b) = 0 and 2(a + c) x2 +(b + c) x = 0 have a common root, then