Let P n =αⁿ+βⁿ, n. If P₁₀=123, P₉=76, P₈=47 and P₁=1, then the quadratic equation having roots 1/(α) and 1/(β) is:

Complex Numbers and Quadratic Equations: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q39

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

P_n=\alpha^n+\beta^n,\ n\in\mathbb{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:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q39

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

P_n=\alpha^n+\beta^n,\ n\in\mathbb{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: