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CGP EDU Academic Team
Published on: August 12, 2026
If a, b, c are three distinct real numbers in G.P. If a + b + c = xb, then -
Text Solution
Verified by ExpertsThe correct answer is:
A
b = ar c = ar 2 a + b + c = xb
a + ar + ar
2 = x a r
r 2 + (1 – x) r + 1 = 0
Since r is real ∴ Disc. is ≥ 0
(1 – x) 2 – 4.1.1 ≥ 0
x 2 – 2x – 3 ≥ 0
(x + 1) (x – 3) ≥ 0
x ≥ 3 or x ≤ – 1
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