JEE Main 2020 — Sequences And Series Question with Solution
From: JEE Main 2020 (Online) 2nd September Morning Slot
Question
If |x| < 1, |y| < 1 and x y, then the sum to infinity
of the following series
(x + y) + (x2+xy+y2) + (x3+x2y + xy2+y3) + ....
(x + y) + (x2+xy+y2) + (x3+x2y + xy2+y3) + ....
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
(x + y) + (x2+xy+y2) + (x3+x2y + xy2+y3) + ....
By multiplying and dividing x – y :
=
=
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By multiplying and dividing x – y :
=
=
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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.