The domain of the function f(x) = 1 | x| is - Vidyadip

MCQ

The domain of the function $f(x) = \sqrt {\log \frac{1}{{|\sin x|}}} $ is

A
$R - \{ 2n\pi ,\;n \in I\} $
✓
$R - \{ n\pi ,\;n \in I\} $
C
$R - \{ - \pi ,\;\pi \} $
D
$( - \infty ,\;\infty )$

✓

Answer

Correct option: B.

$R - \{ n\pi ,\;n \in I\} $

b
(b) $f(x) = \sqrt {\,\log \frac{1}{{|\sin x|}}} $

==> $3 + x > 0$==> $x \ne n\pi + {( - 1)^n}0$

==> $x \ne n\pi $. Domain of $f(x) = R - \{ n\pi ,\,\,n \in I\} $.

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 STD 11- 2. Relation and Function→STD 11- 2. Relation and Function — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The number of observations in a group is $40$. If the average of first $10$ is $4.5$ and that of the remaining $30$ is $3.5$, then the average of the whole group is

Let a relation $R$ be defined by $R = \{(4, 5), (1, 4), (4, 6), (7, 6), (3, 7)\},$ then $\text{ROR}$ is equal to:

The equation of common tangents to the parabola ${y^2} = 8x$ and hyperbola $3{x^2} - {y^2} = 3$, is

Solve $x^2 + x – 2 = 0$.

The value of $\frac{{a + b\omega + c{\omega ^2}}}{{b + c\omega + a{\omega ^2}}} + \frac{{a + b\omega + c{\omega ^2}}}{{c + a\omega + b{\omega ^2}}}$ will be

The coefficient of $x^{50}$ in the binomial expansion of ${\left( {1 + x} \right)^{1000}} + x{\left( {1 + x} \right)^{999}} + {x^2}{\left( {1 + x} \right)^{998}} + ..... + {x^{1000}}$ is

Solution of the equation $\sqrt {(x + 10)} + \sqrt {(x - 2)} = 6$ are

If two normals to a parabola $ y^2 = 4ax$ intersect at right angles then the chord joining their feet passes through a fixed point whose co-ordinates are :

The expression $\frac{{\cos 6x + 6\cos 4x + 15\cos 2x + 10}}{{\cos 5x + 5\cos 3x + 10\cos x}}$ is equal to

If $A = {\sin ^2}\theta + {\cos ^4}\theta ,$ then for all real values of $\theta$