JEE Main 2020MathematicsQuadratic EquationHardMCQ

JEE Main 2020 — Quadratic Equation Question with Solution

JEE Main 2020 (07 Jan Shift 2)

Question

Let α and β be the roots of the equation x2-x-1=0 . If pk=αk+βk,k≥1, then which one of the following statements is not true?

Choose an option

Show full solutionCorrect option: D
Correct answer
Dp5=p2⋅p3

Step-by-step explanation

α5=5α+3
β5=5β+3

P5=5α+β+6
=51+6
P5=11 and

P2=α2+β2=α+1+β+1=3
 and P3=α3+β3=2α+1+2β+1=21+2=4
P2×P3=12 and P5=11⇒P5≠P2×P3

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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.