If 1 2 33 –1 cos cos 3 42 4 x x x – æö æö æ ö p + => ç÷ ç÷ ç ÷ èø èø è ø ,then x is equal to:

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:

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

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

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

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

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Jan. 09, 2019 (I)

Solution:

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