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JEE MAIN 2026
24-01-2026 S1
Question
Let $\alpha, \beta \in \mathbb{R}$ be such that the function $f(x)=\left\{\begin{array}{ll}2 \alpha\left(x^2-2\right)+2 \beta x & , x<1 \\ (\alpha+3) x+(\alpha-\beta) & , x \geq 1\end{array}\right.$ be differentiable at all $x \in \mathbb{R}$. Then $34(\alpha+\beta)$ is equal to
Select the correct option:
A
84
B
48
C
36
D
24
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Easy
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