Download App

Relations and Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations and Functions1 Mark
MCQ
$\text{f}(\text{x})={\frac{\text{|x|}}{\text{x}}}$ for $ \text{x} ≠ 0$ and $ 0$ for $ \text{x} = 0$ Which function is this?
  • A
    Constant
  • B
    Modulus
  • C
    Identity
  • ✓
    Signum function
✓

Answer

Correct option: D.
Signum function
$\text{f}(\text{x})={\frac{\text{|x|}}{\text{x}}} \{$for $ \text{x} ≠ 0$ and $0$ for $ \text{x} = 0\}.$
Function is $\{(-3, -1), (-2, -1), (-1, 1), (0, 0), (1, 1), (2, 1), (3, 1), …….\}$
This is signum function.

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 Relations and Functions→Relations and Functions — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Let $U = \{ 1,\,2,\,3,\,4,\,5,\,6,\,7,\,8,\,9,\,10\} $, $A = \{ 1,\,2,\,5\} ,\,B = \{ 6,\,7\} $, then $A \cap B'$ is
→
A real value of x satisfies the equation $\frac{3-4\text{ix}}{3+4\text{ix}}=\text{a}-\text{ib}\Big(\text{a},\text{b}\in\text{R}\Big),$ if $\text{a}^2+\text{b}^2=$
→
The lines

$(p - q)x + (q - r)y + (r - p) = 0$

$(q - r)x + (r - p)y + (p - q) = 0$

$(r - p)x + (p - q)y + (q - r) = 0$  are

→
Suppose $m, n$ are positive integers such that $6^m+2^{m+n} \cdot 3^w+2^n=332$. The value of the expression $m^2+m n+n^2$ is
→
A bag contains $3$ black and $4$ white balls. Two balls are drawn one by one at random without replacement. The probability that the second drawn ball is white, is
→
Everybody in a room shakes hand with everybody else. The total number of hand shakes is $66$. The total number of persons in the room is
→
If $12a + 5b = 9$, where $a, b$ $\in$ $R$, then minimum value of $a^2 + b^2$ is -
→
The number of five digit numbers, greater than $40000$ and divisible by $5$, which can be formed using the digits $0,1,3,5,7$ and $9$ without repetition, is equal to
→
Let $E_1$ and $E_2$ be two ellipses whose centers are at the origin. The major axes of $E_1$ and $E_2$ lie along the $x$-axis and the $y$-axis, respectively. Let $S$ be the circle $x^2+(y-1)^2=2$. The straight line $x+y=3$ touches the curves $S, E_1$ ad $E_2$ at $P, Q$ and $R$, respectively. Suppose that $P Q=P R=\frac{2 \sqrt{2}}{3}$. If $e_1$ and $e_2$ are the eccentricities of $E_1$ and $E_2$, respectively, then the correct expression$(s)$ is(are)

$(A)$ $e_1^2+e_2^2=\frac{43}{40}$

$(B)$ $e_1 e_2=\frac{\sqrt{7}}{2 \sqrt{10}}$

$(C)$ $\left|e_1^2-e_2^2\right|=\frac{5}{8}$

$(D)$ $e_1 e_2=\frac{\sqrt{3}}{4}$

→
The point which divides externally the line joining the points $(a + b,\,a - b)$ and $(a - b,a + b)$ in the ratio $a:b$, is
→