CBSE Class 12 Mathematics Relations and Functions Q #2117
KNOWLEDGE BASED
REMEMBER
2 Marks Generic-Curriculum VSA
Let $A = \{1, 2, 3, 4\}$ and let $R = \{(2, 2), (3, 3), (4, 4), (1, 2)\}$ be a relation on $A$. Then check whether $R$ is reflexive, symmetric or transitive.
Prev Next

More from this Chapter

SA
Determine whether $R$ in the set $A = \{1, 2, 3, 4\}$ defined by $R = \{(a, b) : |a - b| \text{ is odd}\}$ is an equivalence relation. Justify your answer. [All India 2014]
LA
Show that the relation $R$ in the set $A$ of points in a plane given by $R = \{(P, Q) : \text{distance of the point } P \text{ from the origin is same as the distance of the point } Q \text{ from the origin}\}$, is an equivalence relation. Further, show that the set of all points related to a point $P \neq (0, 0)$ is the circle passing through $P$ with origin as centre. [Competency]
SA
Let $A = \text{set of workers in a publication house}$. Let $a R b$, if and only if $a$ and $b$ tell lie ; $a, b \in A$. (i) Is $R$ symmetric relation? (ii) Is this relation an equivalence relation?
LA
Show that a function $f:\mathbb{R}\rightarrow\mathbb{R}$ defined as $f(x)=\frac{5x-3}{4}$ is both one-one and onto.
LA
Show that $f:R\rightarrow R$ defined as $f(x)=\frac{x}{\sqrt{1+x^{2}}}$ is one-one but not onto.
View All Questions