jee-main 2021 Q70

jee-main · India · session3_20jul_shift1 Composite & Inverse Functions Find or Apply an Inverse Function Formula
The number of real roots of the equation $\tan ^ { - 1 } \sqrt { x ( x + 1 ) } + \sin ^ { - 1 } \sqrt { x ^ { 2 } + x + 1 } = \frac { \pi } { 4 }$ is:
(1) 1
(2) 2
(3) 4
(4) 0
The number of real roots of the equation $\tan ^ { - 1 } \sqrt { x ( x + 1 ) } + \sin ^ { - 1 } \sqrt { x ^ { 2 } + x + 1 } = \frac { \pi } { 4 }$ is:\\
(1) 1\\
(2) 2\\
(3) 4\\
(4) 0