Download App

Inverse Trigonometric Functions — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSInverse Trigonometric Functions1 Mark
Question
The domain of function $\sin ^{-1} 2 x$ is :
✓

Answer

(C)
$\quad \sin ^{-1} 2 x$ will be defined if $-1 \leq 2 x \leq 1 \Rightarrow-\frac{1}{2} \leq$$
x \leq \frac{1}{2} \Rightarrow x \in\left[-\frac{1}{2}, \frac{1}{2}\right]
$
Hence correct option is (C)

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 Inverse Trigonometric Functions→Inverse Trigonometric Functions — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

The area of the region bounded by the curve x = 2y + 3 and lines y = 1 and y = –1 is:
  1. $4\text{ sq.}\text{ units}$
  2. $\frac{2}{3}\text{ sq.}\text{ units}$
  3. $6\text{ sq.}\text{ units}$
  4. $8\text{ sq.}\text{ units}$
→
The value of $\sin\big(2\big(\tan^{-1}0.75\big)\big)$ is equal to:
→
If $ \text{x}=\cos^{-1}(\cos 4): \text{y}=\sin^{-1}(\sin 3)$ then which of the following holds?
  1. x - y = 1
  2. x + y + 1 = 0
  3. x + 2y = 2
  4. y + x = 0
→
One hundred idential coins, each with probability p of showing heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, the value of p is:
  1. $\frac{1}{2}$
  2. $\frac{51}{101}$
  3. $\frac{49}{101}$
  4. $\text{None of these}$
→
If the line $y = x$ touches the curve $y = x^2 + bx + c$ at a point $(1, 1)$ then:
→
If $\vec{\text{x}}$ is a vector in the direction of (2, -2, 1) of magnitude 6 and $\vec{\text{y}}$ is a vector in the direction of  (1, 1, -1) of magnitude $\sqrt{3}$ then $\mid\vec{\text{x}}+2\vec{\text{y}}\mid=$
  1. $40$
  2. $\sqrt{35}$
  3. $\sqrt{17}$
  4. $2\sqrt{10}$
→
$\int_0^\pi \frac{1}{1+\sin x} dx$ equals
→
$\sin^{-1}\Big(\frac{1}{\sqrt2}\Big)$
  1. $\frac{\pi}{4}$
  2. $\frac{\pi}{3}$
  3. $\frac{\pi}{6}$
  4. $\frac{\pi}{2}$
→
Choose the correct answer from the given four options.
A box has 100 pens of which 10 are defective. What is the probability that out of a sample of 5 pens drawn one by one with replacement at most one is defective?
→
Choose the correct answers from the given four options:
Let $\text{f(x)}=|\sin\text{x}|.$ Then:
  1. f is everywhere differentiable.
  2. f is everywhere continuous but not differentiable at $\text{x}=\text{n}\pi,\text{n}\in\text{Z}.$
  3. f is everywhere continuous but not differentiable at $\text{x}=(2\text{n}+1)\frac{\pi}{2},\text{n}\in\text{Z}.$
  4. None of these.
→