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JEE Advance 2006
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Let $\theta \in\left(0, \frac{\pi}{4}\right)$ and $\mathrm{t}_1=(\tan \theta)^{\tan \theta}, \mathrm{t}_2=(\tan \theta)^{\cot \theta}, \mathrm{t}_3=(\cot \theta)^{\tan \theta}$ and $\mathrm{t}_4=(\cot \theta)^{\cot \theta}$, then
Select the correct option:
A
$t_1>t_2>t_3>t_4$
B
$t_4>t_3>t_1>t_2$
C
$t_3>t_1>t_2>t_4$
D
$t_2>t_3>t_1>t_4$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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