Question 1 :
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:
Question 2 :
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 :
Let R be a relation from A = {1, 2, 3, 4} to B = {1, 3, 5} such that<br>R = [(a, b) : a < b, where a $\varepsilon$ A and b $\varepsilon$ B].<br>What is RoR$^{-1}$ equal to?
Question 5 :
If $k\ \epsilon\ R^+$ and the middle term of $(\dfrac{k}{2} + 2)^8$ is $1120$, then value of k is
Question 6 :
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 7 :
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 8 :
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
