Question 2 :
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 4 :
Let $$R$$ be a relation on $$N$$ defined by $$x+2y=8$$. The domain of $$R$$ is

Question 5 :
Let $$R$$ be a relation on the set $$N$$ given by $$R=\left\{ \left( a,b \right) :a=b-2,b>6 \right\}$$. Then

Question 6 :
$$A$$ 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 7 :
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 8 :
Consider two sets $$A=\{a, b, c\}, B=\{e, f\}$$. If maximum numbers of total relations from A to B; symmetric relation from A to A and from B to B are $$l, m, n$$ respectively, then the value of $$2l+m-n$$ is

Question 11 :
If $$A=\left \{ 1,2,3 \right \} $$ and $$B=\left \{ 4,5,6 \right \}$$ then which of the following sets are relation from $$A$$ to $$B$$<br>(i) $$\displaystyle R_{1}=\left \{ (4,2) (2,6)(5,1)(2,4)\right \}$$<br>(ii) $$\displaystyle R_{2}=\left \{ (1,4) (1,5)(3,6)(2,6) (3,4)\right \}$$<br>(iii) $$\displaystyle R_{3}=\left \{ (1,5) (2,4)(3,6)\right \}$$<br>(iv) $$\displaystyle R_{4}=\left \{ (1,4) (1,5)(1,6)\right \}$$<br>

Question 12 :
Let $$A=\left\{ a,b,c \right\} $$ and $$B=\left\{ 1,2 \right\} $$. Consider a relation $$R$$ defined from set $$A$$ to set $$B$$. Then $$R$$ is equal to set

Question 14 :
The domain of definition of function $$f(x) = \dfrac {1 + 2(x + 4)^{-0.5}}{2 - (x + 4)^{0.5}} + (x + 4)^{0.5} + 4(x + 4)^{0.5}$$ is

Question 15 :
Find all real values of $$x$$ such that $$f(x)=g(x)$$ where $$f$$ and $$g$$ are functions given by<br/>$$f(x)=3x+\sqrt x$$ and $$g(x)=2x+6$$

Question 16 :
Let $$A=R-\left\{3\right\},B=R-\left\{1\right\} $$ and $$f:A \rightarrow B $$ defined by $$ f(x)\displaystyle =\frac{x-2}{x-3}$$ Is $$f$$ bijective ? <br>If yes enter 1 else enter 0

Question 17 :
If $$S$$ is the set of all real $$x$$ and such that $$\displaystyle&#160;\frac { 2x-1 }{ 2{ x }^{ 3 }+3{ x }^{ 2 }+x } $$ is positive, then $$S$$ contains

Question 18 :
If $$A$$ is the set of even natural numbers less than $$8$$ and $$B$$ is the set of prime numbers less than $$7$$, then the number of relations from $$A$$ to $$B$$ is

Question 19 :
The domain of the function $$f(x) = {{log_{3+x}}({x^2} - 1)}$$ is