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Recent questions in Class11
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JEEMAIN and NEET
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Mathematics
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Class11
Class11
Sets
Relations and Functions
Trigonometric Functions
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Bionomial Theorem and Simple Applications
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Coordinate Geometry: Straight Lines
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If $f=\{(1,5),(2,6),(3,4)\}$ and $g=\{(4,7),(5,8),(6,9)\}$, then $gof$ = ?
jeemain
math
class11
ch2
relations-and-functions
easy
asked
May 15, 2013
by
rvidyagovindarajan_1
1
answer
If $[2x-3]=5$, what are the values of $x$ where $[.]$ is greatest integer function
jeemain
math
class11
ch2
relations-and-functions
function
medium
asked
May 8, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=log\bigg(\large\frac{1+x}{1-x}\bigg)$, then $f(x)+f(y)$ = ?
jeemain
math
class11
ch2
relations-and-functions
function
difficult
asked
May 8, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is a function defined as $f(2x+3)+f(2x+7)=2$ $\forall x\in R$ then the period of $f(x)$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 7, 2013
by
rvidyagovindarajan_1
1
answer
The range of the real valued function $f(x)=\large\frac{x^2+x+2}{x^2+x+1}$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 7, 2013
by
rvidyagovindarajan_1
1
answer
If $A\:and\:B$ are two sets such that $(A-B)\cup B=A$, then what can you say about $A\:and\:B$?
jeemain
math
class11
ch1
sets
venn
diagram
and
operations
on
easy
asked
May 4, 2013
by
rvidyagovindarajan_1
1
answer
What is the domain of $f(x)=\large\frac{[x]+1}{[x]-1}$ where $[x]$ is greatest integer function
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 1, 2013
by
rvidyagovindarajan_1
1
answer
The no. of subsets of a finite set A is 56 more than the no. of subsets of another finite set B. What is the no. of elements of A?
jeemain
math
class11
ch1
sets
subsets-universal-sets-and-power-sets
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 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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