The Set of All Values of k....... | JEE Main 2022

JEE MAIN 2022

24-06-2022 S1

Question

The set of all values of $k$ for which $\left(\tan ^{-1} x\right)^3+\left(\cot ^{-1} x\right)^3=k \pi^3, x \in R$, is the interval :

Select the correct option:

$\left[\frac{1}{32}, \frac{7}{8}\right)$

$\left(\frac{1}{24}, \frac{13}{16}\right)$

$\left[\frac{1}{48}, \frac{13}{16}\right]$

$\left[\frac{1}{32}, \frac{9}{8}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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