JEE Main 2020MathematicsQuadratic EquationMediumMCQ

JEE Main 2020 — Quadratic Equation Question with Solution

JEE Main 2020 (07 Jan Shift 1)

Question

Let α and β be two real roots of the equation k+1tan2x-2⋅λtan⁡x=1-k, where k≠-1 and λ are real numbers. If tan2α+β=50, then a value of λ is

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Show full solutionCorrect option: B
Correct answer
B10

Step-by-step explanation

k+1tan2⁡x-2λtan⁡x+k-1=0
tan⁡α+tan⁡β=2λk+1
tanαtan⁡β=k-1k+1
tan⁡α+β=2λk+11-k-1k+1=2λ2=λ2
tan2⁡α+β=λ22=50
λ=±10

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About this question

This is a previous-year question from JEE Main 2020, 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.