JEE Main 2020 — Sequences And Series Question with Solution
From: JEE Main 2020 (Online) 6th September Morning Slot
Question
Let a , b, c , d and p be any non zero distinct real numbers such that
(a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 + d2) = 0. Then :
(a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 + d2) = 0. Then :
Choose an option
Show full solutionCorrect option: B
Correct answer
Ba, b, c, d are in G.P.
Step-by-step explanation
(a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 + d2) = 0
(a2p2 + 2abp + b2 ) + (b2p2 + 2bcp + c2 ) + (c2 p2 + 2cdp + d2) = 0
(ab + b)2 + (bp + c)2 + (cp + d)2 = 0
Note : If sum of two or more positive quantity is zero then they are all zero.
ap + b = 0 and bp + c = 0 and cp + d = 0
p = = =
or = =
a, b, c, d are in G.P.
(a2p2 + 2abp + b2 ) + (b2p2 + 2bcp + c2 ) + (c2 p2 + 2cdp + d2) = 0
(ab + b)2 + (bp + c)2 + (cp + d)2 = 0
Note : If sum of two or more positive quantity is zero then they are all zero.
ap + b = 0 and bp + c = 0 and cp + d = 0
p = = =
or = =
a, b, c, d are in G.P.
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This is a previous-year question from JEE Main 2020, covering the Sequences And Series chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.