JEE Main 2021 — Inverse Trigonometric Functions Question with Solution
From: JEE Main 2021 (Online) 26th February Evening Shift
Question
If 0 < a, b < 1, and tan1a + tan1b = , then the value of
is :
is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A2
Step-by-step explanation
tan1a + tan1b = 0 < a, b < 1
a + b = 1 ab
(a + 1)(b + 1) = 2
Now
( expansion of loge(1 + x))
a + b = 1 ab
(a + 1)(b + 1) = 2
Now
( expansion of loge(1 + x))
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This is a previous-year question from JEE Main 2021, covering the Inverse Trigonometric Functions 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.