#### 11th Standard Maths Sets, Relations and Functions English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021

11th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

Answer all the questions

10 x 1 = 10
1. The function f:[0,2π]➝[-1,1] defined by f(x)=sin x is

(a)

one-to-one

(b)

on to

(c)

bijection

(d)

cannot be defined

2. The shaded region in the adjoining diagram represents.

(a)

A\B

(b)

B\A

(c)

AΔB

(d)

A'

3. If f(x) = |x - 2| + |x + 2|, x ∈ R, then

(a)

$f(x)=\begin{cases}-2x\ if\ x∈(-∞,-2] \\4\ if \ x∈(-2,2]\\ 2x\ if\ x∈(2,∞)\end{cases}$

(b)

$f(x)=\begin{cases}2x\ if\ x∈(-∞,-2] \\4x\ if \ x∈(-2,2]\\ - 2x\ if\ x∈(2,∞)\end{cases}$

(c)

$f(x)=\begin{cases}-2x\ if\ x∈(-∞,-2] \\-4x\ if \ x∈(-2,2]\\ 2x\ if\ x∈(2,∞)\end{cases}$

(d)

$f(x)=\begin{cases}-2x\ if\ x∈(-∞,-2] \\2x\ if \ x∈(-2,2]\\ 2x\ if\ x∈(2,∞)\end{cases}$

4. If two sets A and B have 17 elements in common, then the number of elements common to the set A x B and B x A is

(a)

217

(b)

172

(c)

34

(d)

insufficient data

5. Let f:Z➝Z be given by f(x)=$\begin{cases} \frac { x }{ 2 } \quad if\quad x\quad is\quad even \\ 0\quad if\quad x\quad is\quad odd \end{cases}$ . Then f is

(a)

one-one but not onto

(b)

onto but not one-one

(c)

one-one and onto

(d)

neither one-one nor onto

6. Domain of the function $y={x-1\over x+1}$ is:

(a)

1R

(b)

Q

(c)

R-(-1)

(d)

R-1

7. Let X = {a, b,c},y = (1,2,3) then $f:x\rightarrow y$ given by (a, 1) (b, 1) (c, 1) is called:

(a)

onto

(b)

constant function

(c)

one one

(d)

bijective

8. The function f(x) = log (x + $\sqrt{x^2+1}$) is

(a)

an even function

(b)

an odd function

(c)

a periodic function

(d)

neither an even nor an odd function

9. If $f(x)={1-x\over 1+x},(x\neq0)$ then f-1(x) =

(a)

f(x)

(b)

$1\over f(x)$

(c)

-f(x)

(d)

-$1\over f(x)$

10. If n(A) = 1024 then n[P(A)] =

(a)

210

(b)

$2^{2^{10}}$

(c)

cannot be determined

(d)

410