JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2025, Shift 1, Maths Q17

Question 17 of 75 in this shift, Maths question 17 of 25, Section A.

Let

P_n=\alpha^n+\beta^n

n\in\mathbf{N}

. If

P_{10}=123

P_9=76

P_8=47

and

P_1=1

, then the quadratic equation having roots

\frac{1}{\alpha}

and

\frac{1}{\beta}

is :

(1) $x^2-x+1=0$
(2) $x^2+x-1=0$ Official answer
(3) $x^2-x-1=0$
(4) $x^2+x+1=0$

Official answer

Option 2

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Newton's Sums

Same idea in other shifts

Asked 9× in all

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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.