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Recent questions tagged class12

Which of the following pairs of functions are equal ?

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 a random variable $X$ follows poisson distribution such that $E(X^{2})=30$ then the variance of the distribution is

asked May 30, 2013 by poojasapani_1

1 answer

If in a poisson distribution $P(X=0)=k$ then the variance is

asked May 30, 2013 by poojasapani_1

1 answer

If $2$ cards are drawn from a well shuffled pack of $52$ cards, the probability that they are of the same colours without replacement, is

asked May 30, 2013 by poojasapani_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

Discuss the continuity of the following functions $(c)\;f(x)=\sin x.\cos x$

asked May 28, 2013 by sreemathi.v

1 answer

Discuss the continuity of the following functions $(b)\;f(x)=\sin x-\cos x$

asked May 28, 2013 by sreemathi.v

1 answer

Discuss the continuity of the following functions $(a)\;f(x)=\sin x+\cos x$

asked May 28, 2013 by sreemathi.v

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

A box contains $6$ red and $4$ white balls.If $3$ balls are drawn at random, the probability of getting $2$ white balls without replacement, is

asked May 28, 2013 by poojasapani_1

1 answer

In $16$ throws of a die getting an even number is considered a success. Then the variance of the successes is

asked May 28, 2013 by poojasapani_1

1 answer

If the mean and standard deviation of a binomial distribution are $12$ and $2$ respectively. Then the value of its parameter $p$ is

asked May 28, 2013 by poojasapani_1

1 answer

The mean of a binomial distribution is $5$ and its standard deviation is $2.$ Then the value of $n$ and $p$ are

asked May 28, 2013 by poojasapani_1

1 answer

In $5$ throws of a die, getting $1$ or $2$ is a success. The mean number of successes is

asked May 28, 2013 by poojasapani_1

1 answer

Var $(4X+3)$ is

asked May 28, 2013 by poojasapani_1

1 answer

$\mu_{2}=20, \mu'_{2}=276$ for a discrete random variable $X$. Then the mean of the random variable $X$ is

asked May 28, 2013 by poojasapani_1

1 answer

Variance of the random variable $X$ is$4$ .Its mean is $2.$ Then $E(X^{2})$ is

asked May 28, 2013 by poojasapani_1

1 answer

$X$ is a random variable taking the values $3, 4 $and $12$ with probabilities $\large\frac{1}{3},\frac{1}{4}$ and $\large\frac{4}{7}.$ Then $E(X)$ is

asked May 28, 2013 by poojasapani_1

1 answer

Given $E(X+c)=8$ and $E(X-c)=12$ then the value of $c$ is

asked May 28, 2013 by poojasapani_1

1 answer

A random variable $X$ has the following p.d.f\[\]$ \begin{array} {llllllll} \textbf{X:}& 0& 1& 2& 3& 4& 5&6&7 \\ \textbf{P(X):}& 0& k &2k& 2k& 3k& k^{2}&2k^{2}&7k^{2}+k \end{array} $\[\]The value of $k$ is

asked May 28, 2013 by poojasapani_1

1 answer

$X$ is a discrete random variable which takes the values $0, 1, 2 $ and $P(X=0)=\large\frac{144}{169},$$ P(X=1)=\large\frac{1}{169}$ then the value of $P(X=2)$ is

asked May 28, 2013 by poojasapani_1

1 answer

A random variable $X$ has the following probability mass function as follows:\[\]$\begin{array} {llllllll} \textbf{X:}& -2& 3 & 1 \\ \textbf{P(X=x):}& \large\frac{\lambda}{6}& \large\frac{\lambda}{4} &\large\frac{\lambda}{12} \end{array}$\[\] Then the value of $\lambda$ is

asked May 28, 2013 by poojasapani_1

1 answer

A random variable $X$ has the following probability distribution.\[\]$\begin{array} {llllllll} \textbf{X:}& 0& 1& 2& 3& 4& 5 \\ \textbf{P(X=x):}& 1/4& 2a &3a& 4a& 5a& 1/4 \end{array}$\[\]Then $p(1\leq x\leq 4)$ is

asked May 28, 2013 by poojasapani_1

1 answer

If $f(x)=\large\frac{A}{\pi}\frac{1}{16+x^{2'}}$$-\infty<x<\infty$\[\]is a p.d.f of a continuous random variable $X,$ then the value of $A$ is

asked May 28, 2013 by poojasapani_1

1 answer

If $ f(x) = \left\{ \begin{array}{l l} kx^{2}, & \quad \text{$0<x<3$}\\ 0, & \quad \text{elsewhere} \end{array} \right. $ is a probability density function then the value of $k$ is

asked May 28, 2013 by poojasapani_1

0 answers

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

In the set of integers under the operation $^\ast $ defined by $a^{\ast}b=a+b-1$ the identity element is

asked May 27, 2013 by poojasapani_1

1 answer

In the multiplicative group of $n{ th } $ roots of unity, the inverse of $\omega^{k}$ is $(k<n)$

asked May 27, 2013 by poojasapani_1

1 answer

The order of $-i$ in the multiplicative group of $4^{th} $ roots of unity is

asked May 27, 2013 by poojasapani_1

1 answer

Which of the following is correct?

asked May 27, 2013 by poojasapani_1

1 answer

In the set of real numbers $R,$ an operation $^\ast $is defined by $a^\ast b=\sqrt{a^{2}+b^{2}}.$ Then the value of $(3^\ast4)^\ast 5$ is

asked May 27, 2013 by poojasapani_1

1 answer

The value of $[3]+11([5]+11[6])$ is

asked May 27, 2013 by poojasapani_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

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

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