If a, b, c are 3 positive numbers in A.P. and a 2 , b 2 , c 2 are in H.P., then

Mathematics · JEE Advanced · NTA Exams — Progression and Series

1. a = b = c
2. 2b = 3a + c
3. b² = \(\left(\frac{\mathfrak{a}}{8}\right)^{1 / 2}\)
4. None

Answer

(A) a = b = c

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• Consider the sequence 1, 2, 2, 3, 3, 3 ... where n occurs n times. The number that occurs as 2007 th term is
• Assertion : The sum of an infinite A.G.P. a + (a + d) x + (a + 2d) x 2 + (a + 3d) x 3 +.........., where | x…
• Four distinct integers a, b, c, d are in A.P. If a 2 + b 2 + c 2 = d, then a + b + c + d =
• Six arithmetic means are inserted between 1 and 9/2, the 4 th arithmetic mean is
• Let b i > 1 for i = 1, 2, ..., 101. Suppose log e b 1 , log e b 2 , ...., log e b 101 are in arithmetic…
• If a , b , c are in G.P then the equations ax 2 + 2 bx + c = 0, dx 2 + 2 ex + f = 0 have a common root if d a…
• If α, β be roots of x 2 – 3x + a = 0 and γ, δ are the roots of x 2 – 12x + b = 0 and α, β, γ, δ (in order)…
• The sum of n terms of the following series 1 + (1 + x) + (1 + x + x 2 ) + . . . will be

More Progression and Series questions · Browse all practice questions