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JEE MAIN 2021
20-07-2021 S1
Question
If $\alpha$ and $\beta$ are the distinct roots of the equation $x^2+(3)^{1 / 4} x+3^{1 / 2}=0$, then the value of $\alpha^{96}\left(\alpha^{12}-1\right)+\beta^{96}\left(\beta^{12}-1\right)$ is equal to:
Select the correct option:
A
$56 \times 3^{25}$
B
$56 \times 3^{24}$
C
$52 \times 3^{24}$
D
$28 \times 3^{25}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Medium
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