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JEEMAIN PAST PAPERS
Find the value of $\phi'$
jeemain
math
class11
ch1
sets
subsets
powersets
and
universal
set
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
Find the domain of $sin(log(\large\frac{\sqrt{4-x^2}}{1-x}))$
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $n(A\times B)=8, $ then how many possible values are there for $n(A)?$
jeemain
math
class11
ch1
sets
subsets
powersets
and
universalsets
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
Which of the following pairs of functions are equal ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
What type of set is "The collection of novels written by Munshi Premchand" ?
jeemain
math
class11
ch1
sets
types of sets
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is such that $f(x+y)=f(x).f(y)$, then $f(0)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If function $f(x)$ is given by
$\small\left|\begin {array} {c,c,c} -cos(x+x^2) & -sin(x+x^2) & cos(x+x^2)\\sin(x^2-x) & -cos(x^2-x) & sin(x^2-x)\\sin2x &0 &sin2x^2 \end {array}\right|$, then find $f(0)$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $2^x+2^{f(x)}=2$, then find the domain of $f(x)$
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x) $ is polynomial and $f(x).f(\large\frac{1}{x})$$=f(x)+f(\large\frac{1}{x})$ and $f(3)=28 $ then find $f(4)$
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=coslogx$ then $f(x^2).f(y^2)-\large\frac{1}{2}$ $(f(\large\frac{x^2}{y^2})$$+f(x^2y^2))= ?$
jeemain
math
class11
ch2
relations-and-functions
functions
medium
asked
May 29, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{1,2\},$ then how many binary operations having 1 as identity and 2 as inverse of 2 are possible?
jeemain
math
class12
ch1
relations-and-functions
binary operation
medium
asked
May 29, 2013
by
rvidyagovindarajan_1
1
answer
If a set $A$ has 2 elements, then how many binary operations are possible in $A$ ?
jeemain
math
class12
ch1
relations-and-functions
binary operation
medium
asked
May 29, 2013
by
rvidyagovindarajan_1
1
answer
What is range of $f(x)=^{7-x}P_{x-3}$
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $g(x)=x^2+x-2\:\:and\:\:\large\frac{1}{2}$$gof(x)=2x^2-5x+2$ then $ f(x)= ?$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is defined as $f(x)=[x]^2+[x+1]-3$ where $[x]$ is greatest integer of $x$, then what type of function is $f$?
jeemain
math
class12
ch1
relations-and-functions
types of functions
difficult
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\left\{\begin{array}{c,c} |x| &x \leq 1 \\2-x &x>1\end{array}\right.$, then $fof(x)=?$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $f:A\rightarrow B$ is defined as $f(x)=\sqrt 3 sinx+cosx+4$ and $f$ is invertible then find A.
jeemain
math
class12
ch1
relations-and-functions
types of functions
medium
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
The value of $a\:\:and\:\:b$ for which $f:R\rightarrow R$ is defined as $f(x)=ax+b$ where $a,b\in R $ is bijection with $fof$ as its identity is ?
jeemain
math
class12
ch1
relations-and-functions
types of relations
difficult
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
Find the linear functions that maps $[-1,1]$ onto $[0,2]$.
jeemain
math
class12
ch1
relations-and-functions
types of functions
difficult
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{1,2,3,4\}\:and\:B=\{3,4,7\}$ then the no. of onto functions from $A\rightarrow B$=?
jeemain
math
class12
ch1
relations-and-functions
types of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R\:\:and\:\:f(x)=|x|$ and $A=(0,1)$, then find $f^{-1}(A)$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $f:[1,\infty )\rightarrow\:[2,\infty)$ is defined as $f(x)=x+\large\frac{1}{x}$ then find $f^{-1}(x)$.
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{x:x\in R\:\:and\:\:x\geq \large\frac{1}{2}\}$ and $B=\{x:x\in R\:\:and\:\:x\geq\large\frac{3}{4}\}$ and $f:A\rightarrow B$ is defined as $f(x)=x^2-x+1$ so that $f(x)=f^{-1}(x)$ then the solution set of $x$ is ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{x:x\in R\:\:and\:\:x\geq \large\frac{1}{2}\}$ and $B=\{x:x\in R\:\:and\:\:x\geq\large\frac{3}{4}\}$ and $f(x)=x^2-x+1$ so that $f(x)=f^{-1}x$ then the solution set of $x$ is ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
0
answers
If $f(x)=x^n$, $n\in N$ and $gof(x)=ng(x)$, then $g(x)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
easy
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $f:A\rightarrow B$, $3^{f(x)}+2^{-x}=4$ and $f(x)$ is bijection then the domain $A$ of $f(x)$ is ?
jeemain
math
class12
relations-and-functions
types of relations
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $f:Z\rightarrow Z $ is defined as $f(x)=x^2+ax+b$ then the values of $a$ and $b$ are ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
$If A\{x,y,z\},\:\:B=\{1,2,3\}$ and $f:A\rightarrow B\:\:is\:1-1\:$function. Also one out of the following statements, $f(z)\neq 2,\:\:f(x)=1\:\:and\:\:f(y)\neq 1$ is true. then $f^{-1}(1)=?$
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
medium
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
The Domain of $f(x)=\large^{7-x}P_{x-3}$ is ?
jeemain
math
class11
ch2
relations-and-functions
functions
medium
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $ A=\{x:x\in R\:and\:x\geq 1\}$ and $ f:A\rightarrow A$ is defined as $f(x)=2^{x(x-1)},$ then find $ f^{-1}(x).$
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
medium
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is defined as $f(x)=6^x+6^{|x|}$ then what type of function is $f$ ?
jeemain
math
class12
ch1
relations-and-functions
types-of-functions
easy
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $f(X)=\large\frac{kx}{1+x}$, $x\neq1$ and $fof(x)=x$, then find $k$.
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
easy
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{-1,0,1\}$ and $f:A\rightarrow A$ is defined as $f(x)=x^2$, then what type of function is $f$ ?
jeemain
math
class12
ch1
relations-and-functions
types-of-functions
easy
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is defined as $f(x)=x^2+1$ then $f^{-1}(x)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 24, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is defined as $f(x)=3x-5$, then $f^{-1}(x)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 24, 2013
by
rvidyagovindarajan_1
1
answer
Range of $f(x)=\large\frac{x-[x]}{1+x-[x]}$ where $[x]$ is greatest integer function.
jeemain
math
class12
ch1
relations-and-functions
types of functions
medium
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
Domain of $f(x)=\large\frac{1}{\sqrt {|x|-x}}$ = ?
jeemain
math
class12
ch1
relations-and-functions
types of functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\large\frac{x}{x+1},$ $g(x)=\large\frac{x}{1-x}$ and $h(x)=\sqrt [3] {x},$ then $(fogoh)^{-1}(8)= ?$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $g(f(x))=|sinx|$ and $f(g(x))=(sin\sqrt x)^2$ then find $ f(x)\:\: and\:\: g(x)$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
Which of the following is not a function in R, the set of real numbers ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{1,2,3\}$ and $B=\{2,3,4,9\}$, then which of the following is a function $f:A \;\rightarrow \;B$ ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
$A\cap (A\cap B)'$ = ?
jeemain
math
class11
ch1
sets
operation on sets
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{x:x\in R\:\:and\:\:x\geq 4\}$ and $B=\{x:x\in R\:and\:x< 5\}$, then $A\cap B$ = ?
jeemain
math
class11
ch1
sets
operation on sets
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{1,3,5,B\}$ and $B=\{2,4\}$, then which of the following is true ?
jeemain
cbse
math
class11
ch1
sets
subsets powersets and universal sets
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
$A\cap (A\cup B)$ = ?
jeemain
math
class11
ch1
sets
operation-on-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\large\frac{4^x}{4^x+2}$ then which among the following is correct ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $log_2(log_3(log_4(log_5x)))=0$ then x= ?
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
easy
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
Which of the given functions is an odd function ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
If $S_1=\{1,2,...................20\}$, $S_2=\{a,b,c,d,e\}$, $S_3=\{a,c,e,f\}$, then no. of elements of $(S_1\times S_2)\cap (S_1\times S_3)$ is ?
jeemain
math
class11
ch1
sets
powersets
subsets
and
universal
easy
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\cos \log x$ then $f(x).f(y)-\large\frac{1}{2}$$\bigg(f(\large\frac{x}{y}$)$+f(xy)\bigg)= ?$
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
medium
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
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