Download App

2. inverse trigonometric function — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths2. inverse trigonometric function1 Mark
MCQ
Find the value of $\cot \left(\tan ^{-1} a+\cot ^{-1} a\right)$
  • A
    $\frac{\pi}{3}$
  • B
    $\frac{\pi}{4}$
  • ✓
    $0$
  • D
    $\frac{\pi}{2}$
✓

Answer

Correct option: C.
$0$
c
$\cot \left(\tan ^{-1} a+\cot ^{-1} a\right)$

$=\cot \left(\frac{\pi}{2}\right)$

$=0$

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

A unit vector along the vector $4 \hat{i}-3 \hat{k}$ is
→
$\int \frac{\cos 2 x}{\sin ^2 x \cdot \cos ^2 x} d x$ is equal to
→
The distance travelled $s$ (in centi metre) by a particle in $ t $ seconds is given by, $s = {t^3} + 2{t^2} + t.$ The speed of the particle after $1 $ second will be ......... $cm/sec$
→
Consider a LPP given by
Minimum Z = 6x + 10y
Subjected to x ≥ 6, y ≥ 2, 2x + y ≥ 10, x ≥ 0, y ≥ 0
Redundant constraints in this LPP are
  1. x ≥ 0, y ≥ 0
  2. x ≥ 6
  3. 2x + y ≥ 10
  4. none of these
→
$\int\limits^\infty_0\frac{1}{1+\text{e}^\text{x}}\text{dx}$ equals:

  1. $\log2-1$

  2. $\log2$

  3. $\log4-1$

  4. $-\log2$

→
The value of a for which the function $\text{f(x)}=\begin{cases}\frac{(4^\text{x}-1)^3}{\sin\Big(\frac{\text{x}}{\text{a}}\Big)\log\Big\{\Big(1+\frac{\text{x}^2}{3}\Big)\Big\}},&\text{x}\neq0\\12(\log4)^3,&\text{x}=0\end{cases}$ may be continuous at x = 0 is:
  1. 1
  2. 2
  3. 3
  4. None of these.
→
Let $\vec u\;$be a vector coplanar with the vector  $\vec a = 2\hat i + 3\hat j - \hat k$ and $\vec b = \hat j + \hat k$ . If  $\vec u$ is perpendicular to $\vec a$ and $\vec u \cdot \vec b = 24$ ,then ${\left| {\vec u} \right|^2} = $ . . . .
→
A random variable X has the following probability distribution:

X: 1 2 3 4 5 6 7 8
P(X): 0.15 0.23 0.12 0.10 0.20 0.08 0.07 0.05

Find the events E = {X : X is a prime number}, F{X : X < 4}, the probability $\text{P}(\text{E}\cup\text{F})$ is:

  1. 0.50
  2. 0.77
  3. 0.35
  4. 0.87
→
Consider two statements $S_1$ and $S_2$ .

$S_1$ : If $f(x)$ is a differentiable function with $f'(x)$ = $0$ in $(a, b)$ and $f(x)$ is increasing in $(a, b)$ , then $\frac {f(x)}{f\ '(x)}$ is also increasing in $(a, b).$

$ S_2$ : Both $sin\ x$ and $tan\ x$ are increasing function in $(0,\frac{\pi}{2})$. Which of the following is true 

→
The eqution of the plane contaning the two lines $\frac{\text{x}-1}{2}=\frac{\text{y}+1}{-1}=\frac{\text{z}-0}{3}$ and $\frac{\text{x}}{-2}=\frac{\text{y}-2}{-3}=\frac{\text{z}+1}{-1}$ is:
  1. 8x + y - 5z - 7 = 0
  2. 8x + y + 5z - 7 = 0
  3. 8x - y - 5z - 7 = 0
  4. None of these
→