JEE Main 2020MathematicsQuadratic EquationMediumMCQ

JEE Main 2020 — Quadratic Equation Question with Solution

JEE Main 2020 (02 Sep Shift 1)

Question

Let α and β be the roots of the equation, 5x2+6x-2=0. If Sn=αn+βn, n=1, 2, 3, ...., then

Choose an option

Show full solutionCorrect option: C
Correct answer
C5S6+6S5=2S4

Step-by-step explanation

If α, β are roots of quadratic equation 5x2+6x-2=0

⇒ 5α2+6α-2=0 ⇒5α2+6α=2

⇒ 5β2+6β-2=0 ⇒5β2+6β=2

5S6+6S5=5α6+β6+6α5+β5

=α45α2+6α+β45β2+6β

=2α4+β4=2S4

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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.