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JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 25 July 2021, Shift 1, Maths Q72

Question 72 of 90 in this shift, Maths question 12 of 30, Section A.

The number of real roots of the equation

e^{6x}-e^{4x}-2e^{3x}-12e^{2x}+e^x+1=0

is :

(1) $1$
(2) $2$ Official answer
(3) $4$
(4) $6$

Official answer

Option 2

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Exponential Reducible to Quadratic

Same idea in other shifts

Asked 2× in all

8 Apr 2024, Shift 1 · Q3The sum of all the solutions of the equation $(8)^{2x}-16\cdot(8)^x+48=0$ is :EasySingle correct

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 42 of the 174 JEE Main shifts held from 2017 to 2026.