JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 September 2020, Shift 2, Maths Q60

Question 60 of 75 in this shift, Maths question 10 of 25.

The minimum value of

2^{\sin x} + 2^{\cos x}

is :

(1) $2^{1-\frac{1}{\sqrt{2}}}$ Official answer
(2) $2^{-1+\sqrt{2}}$
(3) $2^{-1+\frac{1}{\sqrt{2}}}$
(4) $2^{1-\sqrt{2}}$

Official answer

Option 1

NTA final key (Sep 2020).

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Optimization via AM-GM Inequality

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.