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Questions >> JEEMAIN and NEET >> Mathematics

Mathematics

Limit, Continuity and Differentiability

Sets, Relations and Functions

If $A=\{1,2,3\}$ then the no. of relations in $A$ containing $(1,2)$ and $(1,3)$ which are reflexive and symmetric but not transitive is

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

If * is binary operation defined in N as ab= $a^3+b^3$ then is

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

If n(A) = 4, n(B) = 6, then the number of 1-1 functions from A to B is

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

The domain of $sin^{-1}\big[log_3(\large\frac{x}{3})\big]$ is

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{x\;/\;x\in\:N, \:$ and $\:x$ is a multiple of $3$ $\leq100\}$ and $B=\{x/x\in\:N\:$ and $\:x$ is multiple of $5$ $\leq\:100\}$ , then no. of elements in $(A\times\:B)\cap\:(B\times\:A)\:is$

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

If $S$ is a set having 10 elements in it and $A$ is a relation in $S$ defined as $A=\{(x,y)$ , where $x,y \in\:S\;$ and $\;x\neq\;y.\}$ , then no. of elements in $A$ is

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{1,2,3,4\}$ and $B=\{1,2\}$ , then the number of onto functions from $A$ to $B$ is

asked Apr 28, 2013 by rvidyagovindarajan_1

1 answer

If the set $S={1,2,3...........12}$ is to be partitioned into 3 sets A,B,C of equal size so that $A\cup\:\:B\cup\:C=S\:and\:A\cap\:B=B\cap\:C=C\cap\: A=\phi$ , then the number of ways the partition can be done is equal to: $(A)\:\:\:\large \frac{12!}{3!(3!)^4}\quad$ $(B)\:\:\:\large \frac{12!}{(4!)^3}\quad$ $(C)\:\:\:\ \large \frac{12!}{(3!)^3}\quad$ $(D)\:\:\: \large \frac{12!}{3!(4!)^3}\quad$

asked Apr 26, 2013 by balaji.thirumalai

1 answer

If the set $S={1,2,3...........12}$ is to be partitioned into $3$ sets $A,B,C$ of equal size so that $A\cup B\cup C=S$ and $A\cap B=B\cap C=C\cap A=\phi$ , then the no. of ways the partition can be done is

asked Apr 26, 2013 by rvidyagovindarajan_1

1 answer

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