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Quadratic Equation and Inequalities question

2025 · 3 Apr · Shift 1 · Q34

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2025 · 3 Apr · Shift 1 · Q34

Quadratic Equation and Inequalities question

2025 · 3 Apr · Shift 1 · Q34

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

\alpha

and

\beta

be the roots of

x^2+\sqrt{3} x-16=0

, and

\gamma

and

\delta

be the roots of

x^2+3 x-1=0

. If

P_n=\alpha^n+\beta^n

and

Q_n=\gamma^n+\hat{o}^n

, then

\frac{P_{25}+\sqrt{3} P_{24}}{2 P_{23}}+\frac{Q_{25}-Q_{23}}{Q_{24}}

is equal to

A
4
B
3
C
5
D
7

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