JEE Main 2024MathematicsQuadratic EquationEasyMCQ

JEE Main 2024 — Quadratic Equation Question with Solution

JEE Main 2024 (31 Jan Shift 2)

Question

The number of solutions, of the equation esinx−2e−sinx=2 is

Choose an option

Show full solutionCorrect option: D
Correct answer
D0

Step-by-step explanation

Let, esinx=t

⇒t-2t=2

⇒t2-2t-2=0

⇒t2-2t+1=3

⇒t-12=3

⇒t=1±3

⇒t≈2.73, -0.73not possible

⇒t≈2.73

⇒esinx≈2.73

⇒sinx≈loge2.73

⇒sinx>1→Not possible

So no solutions will be possible for the given equation.

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About this question

This is a previous-year question from JEE Main 2024, covering the Quadratic Equation 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.