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Recent questions in Mathematics
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JEEMAIN and NEET
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Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trigonometry
Class12
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
jeemain
math
class12
ch1
relations-and-functions
types
of
relations
easy
asked
May 1, 2013
by
rvidyagovindarajan_1
1
answer
If * is binary operation defined in N as a*b=$a^3+b^3$ then * is
jeemain
math
class12
ch1
relations-and-functions
binary-operations
easy
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
jeemain
math
class12
ch1
relations-and-functions
types-of-functions
medium
asked
May 1, 2013
by
rvidyagovindarajan_1
1
answer
The domain of $sin^{-1}\big[log_3(\large\frac{x}{3})\big]$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
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 $(A\times\:B)\cap\:(B\times\:A)\:is$
jeemain
math
class11
ch1
sets
venn-diagram-and-operations
easy
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
jeemain
math
class11
ch2
relations-and-functions
relations
easy
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
jeemain
math
class12
ch1
relations-and-functions
functions
medium
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
jeemain
math
class11
ch1
sets
venn
diagram
operation
on
difficult
asked
Apr 26, 2013
by
rvidyagovindarajan_1
1
answer
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