# Considering only the principal values of inverse functions, the set ( ) ( ) 1 1 0 : tan 2 tan 3 4 Ax x x ì ü – – p =³ + = í ý î þ

Question:

Considering only the principal values of inverse functions, the set $A=\left\{x \geq 0: \tan ^{-1}(2 x)+\tan ^{-1}(3 x)=\frac{\pi}{4}\right\}$

1. contains two elements

2. contains more than two elements

3. is a singleton

4. is an empty set

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Jan. 12, 2019 (I)

Solution:

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