Test Details

Relations and functions

practice test 2

Nov 18, 8:00 PM

45 minutes

Nov 18, 8:45 PM

20.0 marks

MCQ

20 questions

Jitendra Singh

Higher Secondary Teacher

Class Details

MATHS

XII

MATHS

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Question Text

Question 1 :
Let $A = \left \{x, y, z\right \}$ and $B = \left \{p, q, r, s\right \}$. What is the number of distinct relations from $B$ to $A$?

Question 2 :
Let $A=\left\{ u,v,w,z \right\} ;B=\left\{ 3,5 \right\} $, then the number of relations from $A$ to $B$ is

Question 3 :
The relation $R$ defined on the set $A=\left\{ 1,2,3,4,5 \right\} $ by $R=\left\{ \left( a,b \right) :\left| { a }^{ 2 }-{ b }^{ 2 } \right| <16 \right\} $, is not given by

Question 4 :
Find the values of $x$ for which the expression $\dfrac{3x+6}{3x(4x+8)(x-5)}$ is undefined.

Question 6 :
Let $R$ be a relation from a set $A$ to a set $B$, then:

Question 7 :
A relation $\phi$ from $C$ to $R$ is defined by $x\phi y\Leftrightarrow \left| x \right| =y$. Which one is correct?

Question 8 :
If $R$ is a relation on the set $A=\left\{ 1,2,3,4,5,6,7,8,9 \right\} $ given by $xRy\Leftrightarrow y=3x$, then $R=$

Question 9 :
Let R be a relation from a set A to a set B then

Question 10 :
If $A=\left\{ 1,2,3 \right\} , B=\left\{ 1,4,6,9 \right\} $ and $R$ is a relation from $A$ to $B$ defined by $x$ is greater than $y$. The range of $R$ is

Question 11 :
Let the number of elements of the sets $A$ and $B$ be $p$ and $q$ respectively. Then, the number of relations from the set $A$ to the set $B$ is

Question 12 :
Let $x$ be a real number $\left [ x \right ]$ denotes the greatest integer function, and $\left \{ x \right \}$ denotes the fractional part and $(x)$ denotes the least integer function,then solve the following.<br/>$\left [ 2x \right ]-2x=\left [ x+1 \right ]$<br/>

Question 13 :
If R={$(x,y)/3x+2y=15$ and x,y $\displaystyle \epsilon $ N}, the range of the relation R is________

Question 14 :
$A$ and $B$ are two sets having $3$ and $4$ elements respectively and having $2$ elements in common. The number of relations which can be defined from $A$ to $B$ is:

Question 16 :
Let R be the set of real numbers and the mapping $f:R\rightarrow R$ and $g:R\rightarrow R$ be defined by $f(x)=5-x^2$ and $g(x)=3\lambda-4$, then the value of $(fog)(-1)$ is

Question 17 :
If $A=\left \{x:x^2-3x+2=0\right \}$ and $B=\left \{x:x^2+4x-5=0\right \}$ then the value of A-B is

Question 18 :
If $A$ and $B$ are two sets containing four and two elements, respectively. Then the number of subsets of the set $A\times B$ each having at least three elements is

Question 19 :
If A = (a, b, c, d), B= (p, q, r, s). then which of the following are relations from A to B? Give reasons for your answer:

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