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Quadratic Equation and Inequalities question

2023 · 12 Apr · Shift 1 · Q30

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PYQ Library
JEE Main
Mathematics
Quadratic Equation and Inequalities
2023 · 12 Apr · Shift 1 · Q30

Quadratic Equation and Inequalities question

2023 · 12 Apr · Shift 1 · Q30

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

\alpha, \beta

be the roots of the quadratic equation

x^{2}+\sqrt{6} x+3=0

. Then

\frac{\alpha^{23}+\beta^{23}+\alpha^{14}+\beta^{14}}{\alpha^{15}+\beta^{15}+\alpha^{10}+\beta^{10}}

is equal to :

A
72
B
9
C
729
D
81

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