The principal value branch of ^ -1 x is - Vidyadip

MCQ

The principal value branch of $\sec ^{-1} x$ is

A
$\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\{0\}$
✓
$[0, \pi]-\left\{\frac{\pi}{2}\right\}$
C
$(0, \pi)$
D
$\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$.

✓

Answer

Correct option: B.

$[0, \pi]-\left\{\frac{\pi}{2}\right\}$

(b) $[0, \pi]-\left\{\frac{\pi}{2}\right\}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Trigonometric Functions→Trigonometric Functions — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

If the area above the $x-$axis, bounded by the curve $y = 2kx$ and $x = 0$, and $x = 2$ is $\frac{3}{\log_{\text{e}}2},$ then the value of $k$ is:

If planes $ax + by + cz + d =0$ and $a ^{\prime} x+ b ^{\prime} y+ c ^{\prime} z + d ^{\prime}=0$ are perpendicular, then

If $\sin ^{-1}\left(x^3+y^3\right)=$ a then $\frac{ d y}{ d x}=$____

$\int_0^{\pi / 2} \sin ^6 x \cos ^2 x \cdot d x=$

If $A$ and $B$ are square matrices of the same order and $A$ is non-singular, then for a positive integer $n ,\left( A ^{-1} BA \right)^{ n }$ is equal to

If $\sqrt{1-\text{x}^6}+\sqrt{1-\text{y}^6}=\text{a}^3(\text{x}^3-\text{y})^3,$ then $\frac{\text{dy}}{\text{dx}}$ is equal to:

$\int_1^2 \frac{ e ^{\frac{1}{x}}}{x^2} d x=$

Solve the system of equations $x+2 y+z=4$, $-x+y+z=0$ and $x-3 y+z=4$.

Which of the triplets cannot represent direction cosines of a line?

For the binary operation $*$ defined on $R − \{1\}$ by the rule $a * b = a + b + ab$ for all $a, b \in R − \{1\}$, the inverse of $a$ is: