Identify the correct order - Vidyadip

MCQ

Identify the correct order

A
$sec^{-1}(-2) < sec^{-1}(-1) < sec^{-1}(1) < sec^{-1}(2)$
B
$sec^{-1}(2) < sec^{-1}(1) < sec^{-1}(-1) < sec^{-1}(-2)$
C
$sec^{-1}(1) < sec^{-1}(-1) < sec^{-1}(2) < sec^{-1}(-2)$
✓
$sec^{-1}(1) < sec^{-1}(2) < sec^{-1}(-2) < sec^{-1}(-1)$

✓

Answer

Correct option: D.

$sec^{-1}(1) < sec^{-1}(2) < sec^{-1}(-2) < sec^{-1}(-1)$

d
abvious from figure

$\sec ^{-1}(1)<\sec ^{-1}(2)<\sec ^{-1}(-2)<\sec ^{-1}(-1)$

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 "M.C.Q (1 Marks)" from 2. inverse trigonometric function→2. inverse trigonometric function — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $A$ is a $3 \times 3$ matrix such that $|A|=8$, then $|3 A|$ equals

If $a,b,c$ are different and $\left| {\,\begin{array}{*{20}{c}}a&{{a^2}}&{{a^3} - 1}\\b&{{b^2}}&{{b^3} - 1}\\c&{{c^2}}&{{c^3} - 1}\end{array}\,} \right| = 0$, then

Choose the correct answer from the given four option.
The general solution of $\text{e}^{\text{x}}\cos\text{ydx}-\text{e}^\text{x}\sin\text{ydy}=0$ is:

$\text{e}^{\text{x}}\cos\text{y}=\text{k}$
$\text{e}^{\text{x}}\sin\text{y}=\text{k}$
$\text{e}^{\text{x}}=\text{k}\cos\text{y}$
$\text{e}^{\text{x}}=\text{k}\sin\text{y}$

For any positive integer $n$, let $S_n:(0, \infty) \rightarrow R$ be defined by

$S_n(x)=\sum_{k=1}^n \cot ^{-1}\left(\frac{1+k(k+1) x^2}{x}\right)$

where for any $x \in R , \cot ^{-1} x \in(0, \pi)$ and $\tan ^{-1}(x) \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$. Then which of the following

statements is (are) $TRUE$?

$(A)$ $S _{10}( x )=\frac{\pi}{2}-\tan ^{-1}\left(\frac{1+11 x ^2}{10 x }\right)$, for all $x >0$

$(B)$ $\lim _{n \rightarrow \infty} \cot \left(S_n(x)\right)=x$, for all $x>0$

$(C)$ The equation $S_3(x)=\frac{\pi}{4}$ has a root in $(0, \infty)$

$(D)$ $\tan \left( S _{ n }( x )\right) \leq \frac{1}{2}$, for all $n \geq 1$ and $x >0$

What is the value of $ \sin-1(\sin 6)?$

-2π - 6
2π + 6
either -2π + 6 or 2π + 6
2π - 6

If $y=\sin x^{\circ}$ then the value of $\frac{d y}{d x}$ is

A coin is tossed three times. If events A and B are defined as A = Two heads come, B = Last should be head, Then, A and B are

Independent.
Dependent.
Both.
Mutually exclusive.

Mark the correct alternative in the following question:
Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. If $\frac{\text{P(X = r})}{\text{P(X = n} -\text{r})}$ is independent of n and r, then p equals:

$\frac{1}{2}$
$\frac{1}{3}$
$\frac{1}{5}$
$\frac{1}{7}$

If $\theta$ is the angle between any two vectors $\vec{\text{a}}$ and $\vec{\text{b}},$ then $\big|\vec{\text{a}}.\vec{\text{b}}\big|=\big|\vec{\text{a}}\times\vec{\text{b}}\big|$ when $\theta$ is equal to:

$0$
$\frac{\pi}{4}$
$\frac{\pi}{2}$
$\pi$

Let $f : [0,1] \to [0,1]$ be a continuous function, then the equation $f(x) = x$