Recent questions in JEEMAIN and NEET

Find the value of $\phi'$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

Find the domain of $sin(log(\large\frac{\sqrt{4-x^2}}{1-x}))$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

If $n(A\times B)=8,$ then how many possible values are there for $n(A)?$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

Which of the following pairs of functions are equal ?

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

What type of set is "The collection of novels written by Munshi Premchand" ?

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 $f(0)$ = ?

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 $f(0)$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

If $2^x+2^{f(x)}=2$ , then find the domain of $f(x)$

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 $f(4)$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=coslogx$ then $f(x^2).f(y^2)-\large\frac{1}{2}$ $(f(\large\frac{x^2}{y^2})$ $+f(x^2y^2))= ?$

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?

asked May 29, 2013 by rvidyagovindarajan_1

1 answer

If a set $A$ has 2 elements, then how many binary operations are possible in $A$ ?

asked May 29, 2013 by rvidyagovindarajan_1

1 answer

What is range of $f(x)=^{7-x}P_{x-3}$

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 $f(x)= ?$

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 $f$ ?

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 $fof(x)=?$

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.

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 ?

asked May 28, 2013 by rvidyagovindarajan_1

1 answer

Find the linear functions that maps $[-1,1]$ onto $[0,2]$ .

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 $A\rightarrow B$ =?

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R\:\:and\:\:f(x)=|x|$ and $A=(0,1)$ , then find $f^{-1}(A)$

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 $f^{-1}(x)$ .

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 ?

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 ?

asked May 27, 2013 by rvidyagovindarajan_1

0 answers

If $f(x)=x^n$ , $n\in N$ and $gof(x)=ng(x)$ , then $g(x)$ = ?

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 ?

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 ?

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 $f^{-1}(1)=?$

asked May 25, 2013 by rvidyagovindarajan_1

1 answer

The Domain of $f(x)=\large^{7-x}P_{x-3}$ is ?

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 $f^{-1}(x).$

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 $f$ ?

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 $k$ .

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 $f$ ?

asked May 25, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R$ is defined as $f(x)=x^2+1$ then $f^{-1}(x)$ = ?

asked May 24, 2013 by rvidyagovindarajan_1

1 answer