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Quadratic Equation and Inequalities question

2025 · 2 Apr · Shift 1 · Q37

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2025 · 2 Apr · Shift 1 · Q37

Quadratic Equation and Inequalities question

2025 · 2 Apr · Shift 1 · Q37

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

\mathrm{P}_{\mathrm{n}}=\alpha^{\mathrm{n}}+\beta^{\mathrm{n}}, \mathrm{n} \in \mathrm{N}

. If

\mathrm{P}_{10}=123, \mathrm{P}_9=76, \mathrm{P}_8=47

and

\mathrm{P}_1=1

, then the quadratic equation having roots

\frac{1}{\alpha}

and

\frac{1}{\beta}

is :

A
$x^2+x-1=0$
B
$x^2-x+1=0$
C
$x^2+x+1=0$
D
$x^2-x-1=0$

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