If cos⁻¹(2/3x)+cos⁻¹(3/4x)=π/2... | Inverse Trigonometry

JEE Main 2019

9-01-2019 S1

Question

If $\cos ^{-1}\left(\frac{2}{3 x}\right)+\cos ^{-1}\left(\frac{3}{4 x}\right)=\frac{\pi}{2}\left(x>\frac{3}{4}\right)$, then $x$ is equal to :

Select the correct option:

$\frac{\sqrt{146}}{12}$

$\frac{\sqrt{145}}{12}$

$\frac{\sqrt{145}}{10}$

$\frac{\sqrt{145}}{11}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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