Download App

1. relation and function — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths1. relation and function1 Mark
MCQ
Which of the following is an even function :-
  • A
    $f(x) = \log \left( {\frac{{1 - x}}{{1 + x}}} \right)$
  • B
    $f(x) = \left\{ {{x^3} + \sqrt {1 + {x^6}} } \right\}$
  • ✓
    $f(x) = \frac{x}{{{2^x} - 1}} + \frac{x}{2} + 1$
  • D
    $f(x) = {e^{5x}} + \sin 7x$
✓

Answer

Correct option: C.
$f(x) = \frac{x}{{{2^x} - 1}} + \frac{x}{2} + 1$
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 1. relation and function→1. relation and 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 = {a, b, c, d}, then a relation R = {(a, b), (b, a), (a, a)} on A is:
  1. Symmetric and transitive only.
  2. Reflexive and transitive only.
  3. Symmetric only.
  4. Transitive only.
→
Two matrix $P =\left[\begin{array}{cc}3 & 4 \\ -1 & 2 \\ 0 & 1\end{array}\right]$ and $Q ^{ T }=\left[\begin{array}{rrr}-1 & 2 & 1 \\ 1 & 2 & 3\end{array}\right]$, Find $P-Q$ :
→
A fair die is tossed repeatedly until a six is obtained. Let $\mathrm{X}$ denote the number of tosses required and let $\mathrm{a}=\mathrm{P}(\mathrm{X}=3), \mathrm{b}=\mathrm{P}(\mathrm{X} \geq 3)$ and $\mathrm{c}=$ $\mathrm{P}(\mathrm{X} \geq 6 \mid \mathrm{X}>3)$. Then $\frac{\mathrm{b}+\mathrm{c}}{\mathrm{a}}$ is equal to
→
If $y = \log \tan \sqrt x $ then the value of ${{dy} \over {dx}}$ is
→
Given that $\left[\begin{array}{ll}1 & x\end{array}\right]\left[\begin{array}{cc}4 & 0 \\ -2 & 0\end{array}\right]=0$, the value of $x$ is :
→
$\int\limits^\frac{\pi}{2}_{-\frac{\pi}{2}}\sin|\text{x}|\text{dx}$ is equal to:
  1. 1
  2. 2
  3. -1
  4. -2
→
Find the value of $\lambda$ so that the vectors $2 \hat{i}-4 \hat{j}+\hat{k}$ and $4 \hat{i}-8 \hat{j}+\lambda \hat{k}$ are perpendicular.
→
The corner points of the feasible region determined by the system of linear inequalities are (0, 0), (4, 0), (2, 4) and (0, 5). If the maximum value of z = ax + by, where a, b > 0 occurs at both (2, 4) and (4, 0), then:
  1. a = 2b
  2. 2a = b
  3. a = b
  4. 3a = b
→
The value of $\int_{}^{} {\frac{{{e^x}}}{{{e^x} + 1}}} \,dx$ is
→
The solution of the differential equation $(1 + {x^2})\frac{{dy}}{{dx}} = x$ is
→