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Recent questions and answers in TN XII Math
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TN XII Math
TN XII Math
Applications of Matrices and Determinants
(46)
Vector Algebra
(113)
Complex Numbers
(64)
Analytical Geometry
(102)
Differential Calculus Applications - I
(110)
Differential Calculus Applications - II
(42)
Integral Calculus and its applications
(54)
Differential Equations
(67)
Discrete Mathematics
(40)
Probability Distribution
(64)
Objective type Questions and Answers
(271)
19. The total monthly earnings of a worker in a factory is given by I = p + qx + ry, where x denotes the number of points of honesty and y denotes the number of points of punctuality. Data for three months are as follows: Month Earnings X (no. of points) Y(no. of points) 1 6950 40 10 2 6725 35 9 3 7100 40 12 (a) Represent the above data by linear equations and write its matrix form. (b) Is it possible to solve the system of equations so obtained using matrices? (c) Which value you prefer to be rewarded most and why?
answered
Jun 12, 2015
by
azadsk2000_1
1
answer
how become limits 0 to 2 for parabola and 2 to 4 for the circle..can u help me
answered
Dec 6, 2014
by
vijayalakshmi.r
1
answer
How to draw the graph for this ..
asked
Dec 5, 2014
by
govindan.abhilash
0
answers
How to draw a graph for this....do the needful...
answered
Dec 3, 2014
by
pady_1
1
answer
Differential equation - Linear
answered
Nov 20, 2014
by
pady_1
2
answers
Homogeneous equation
answered
Nov 17, 2014
by
vijayalakshmi.r
1
answer
Solve the homogeneous equ: $\frac{dy}{dx}+\frac{y}{x} = \frac{y^2}{x^2}$
answered
Nov 14, 2014
by
vijayalakshmi.r
1
answer
The marks secured by $400$ students in a Mathematics test were normally distributed with mean $65$. If $120$ students got more marks above $85$, the number of students securing marks between $45$ nd $65$ is
tnstate
class12
bookproblem
p244
objective
q150
modelpaper
oct-2007
answered
May 23, 2014
by
meena.p
1
answer
If $f(x)$ is a p.d.f of a normal variate $x$ and $X\sim N(\mu,\sigma^{2})$ then $\int\limits_{-\infty}^{\mu}f(x)dx $ is
tnstate
class12
bookproblem
p244
objective
q149
answered
May 23, 2014
by
meena.p
1
answer
The random variable $X$ follows normal distribution $f(x)=ce\large\frac{-1/2(x-100)^{2}}{25}$ Then the value of $c$ is
tnstate
class12
bookproblem
p244
objective
q148
modelpaper
jun-2006
mar-2010
answered
May 23, 2014
by
meena.p
1
answer
If $f(x)$ is a p.d.f of a normal distribution with mean $\mu$ then $\int\limits_{-\infty}^{\infty}f(x)dx$ is
tnstate
class12
bookproblem
p244
objective
q147
modelpaper
oct-2006
mar-2007
jun-2007
answered
May 23, 2014
by
meena.p
1
answer
In a poisson distribution if $P(X=2)=P(X=3)$ then the value of its parameter $\lambda$ is
tnstate
class12
bookproblem
p244
objective
q146
answered
May 23, 2014
by
meena.p
1
answer
For a poisson distribution with parameter $ \lambda=0.25$ the value of the $2^{nd}$ moment about the origin is
tnstate
class12
bookproblem
p244
objective
q145
modelpaper
oct-2009
answered
May 23, 2014
by
meena.p
1
answer
The distribution function $F(X)$ of a random variable $X$ is
tnstate
class12
bookproblem
p244
objective
q144
modelpaper
mar-2008
answered
May 23, 2014
by
meena.p
1
answer
If a random variable $X$ follows poisson distribution such that $E(X^{2})=30$ then the variance of the distribution is
tnstate
class12
bookproblem
p243
objective
q143
modelpaper
jun-2008
answered
May 23, 2014
by
meena.p
1
answer
If in a poisson distribution $P(X=0)=k$ then the variance is
tnstate
class12
bookproblem
p243
objective
q142
modelpaper
oct-2007
mar-2007
oct-2008
mar-2009
answered
May 23, 2014
by
meena.p
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
tnstate
class12
bookproblem
p243
objective
q141
answered
May 23, 2014
by
meena.p
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
tnstate
class12
bookproblem
p243
objective
q140
answered
May 23, 2014
by
meena.p
1
answer
In $16$ throws of a die getting an even number is considered a success. Then the variance of the successes is
tnstate
class12
bookproblem
p243
objective
q139
modelpaper
jun-2007
mar-2010
answered
May 23, 2014
by
meena.p
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
tnstate
class12
bookproblem
p243
objective
q138
answered
May 23, 2014
by
meena.p
1
answer
The mean of a binomial distribution is $5$ and its standard deviation is $2.$ Then the value of $n$ and $p$ are
tnstate
class12
bookproblem
p243
objective
q137
answered
May 23, 2014
by
meena.p
1
answer
In $5$ throws of a die, getting $1$ or $2$ is a success. The mean number of successes is
tnstate
class12
bookproblem
p243
objective
q136
modelpaper
oct-2006
answered
May 23, 2014
by
meena.p
1
answer
Var $(4X+3)$ is
tnstate
class12
bookproblem
p243
objective
q135
modelpaper
mar-2006
jun-2006
mar-2008
jun-2008
answered
May 23, 2014
by
meena.p
1
answer
$\mu_{2}=20, \mu'_{2}=276$ for a discrete random variable $X$. Then the mean of the random variable $X$ is
tnstate
class12
bookproblem
p243
objective
q134
modelpaper
oct-2009
mar-2010
answered
May 23, 2014
by
meena.p
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
tnstate
class12
bookproblem
p242
objective
q132
modelpaper
oct-2008
answered
May 23, 2014
by
meena.p
1
answer
Variance of the random variable $X$ is$4$ .Its mean is $2.$ Then $E(X^{2})$ is
tnstate
class12
bookproblem
p242
objective
q133
modelpaper
jun-2007
mar-2009
answered
May 23, 2014
by
meena.p
1
answer
Given $E(X+c)=8$ and $E(X-c)=12$ then the value of $c$ is
tnstate
class12
bookproblem
p242
objective
q131
modelpaper
oct-2006
oct-2007
jun-2009
answered
May 23, 2014
by
meena.p
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
tnstate
class12
bookproblem
p242
objective
q130
answered
May 23, 2014
by
meena.p
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
tnstate
class12
bookproblem
p242
objective
q129
modelpaper
mar-2009
answered
May 23, 2014
by
meena.p
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
tnstate
class12
bookproblem
p242
objective
q128
answered
May 23, 2014
by
meena.p
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
tnstate
class12
bookproblem
p242
objective
q127
answered
May 23, 2014
by
meena.p
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
tnstate
class12
bookproblem
p241
objective
q126
modelpaper
mar-2006
mar-2007
oct-2008
oct-2009
answered
May 22, 2014
by
meena.p
1
answer
In the set of integers under the operation $^\ast $ defined by $a^{\ast}b=a+b-1$ the identity element is
tnstate
class12
bookproblem
p241
objective
q124
modelpaper
mar-2007
answered
May 22, 2014
by
meena.p
1
answer
In the multiplicative group of $n{ th } $ roots of unity, the inverse of $\omega^{k}$ is $(k<n)$
tnstate
class12
bookproblem
p241
objective
q123
modelpaper
jun-2006
mar-2008
oct-2009
answered
May 22, 2014
by
meena.p
1
answer
The order of $-i$ in the multiplicative group of $4^{th} $ roots of unity is
tnstate
class12
bookproblem
p241
objective
q122
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is correct?
tnstate
class12
bookproblem
p241
objective
q121
modelpaper
oct-2007
answered
May 22, 2014
by
meena.p
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
tnstate
class12
bookproblem
p241
objective
q120
answered
May 22, 2014
by
meena.p
1
answer
The value of $[3]+11([5]+11[6])$ is
tnstate
class12
bookproblem
p241
objective
q119
modelpaper
mar-2006
jun-2009
answered
May 22, 2014
by
meena.p
1
answer
In the multiplicative group of cube root of unity, the order of $w^{2}$ is
tnstate
class12
bookproblem
p240
objective
q118
modelpaper
jun-2007
oct-2008
answered
May 22, 2014
by
meena.p
1
answer
The order of $[7]$ in $(Z_{9},+_{9})$ is
tnstate
class12
bookproblem
p240
objective
q117
modelpaper
oct-2006
oct-2007
jun-2008
mar-2009
answered
May 22, 2014
by
meena.p
1
answer
In the set of integers with operation $^{\ast}$ defined by $a ^{\ast} b=a+b-ab,$ the value of $3^{\ast}(4^{\ast} 5)$ is
tnstate
class12
bookproblem
p240
objective
q116
modelpaper
jun-2006
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is not a group?
tnstate
class12
bookproblem
p240
objective
modelpaper
oct-2008
answered
May 22, 2014
by
meena.p
1
answer
A monoid becomes a group if it also satisfies the
tnstate
class12
bookproblem
p240
objective
q114
modelpaper
mar-2008
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is not a binary operation on $R$
tnstate
class12
bookproblem
p240
objective
q113
modelpaper
oct-2007
jun-2008
jun-2009
mar-2010
answered
May 22, 2014
by
meena.p
1
answer
$p\leftrightarrow q$ is equivalent to
tnstate
class12
bookproblem
p240
objective
q112
modelpaper
mar-2006
mar-2007
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is a contradiction ?
tnstate
class12
bookproblem
p240
objective
q111
modelpaper
mar-2006
oct-2006
oct-2008
jun-2009
oct-2009
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is a tautology?
tnstate
class12
bookproblem
p240
objective
q110
modelpaper
jun-2007
mar-2008
mar-2009
answered
May 22, 2014
by
meena.p
1
answer
The conditional statement $ p\to q$ is equivalent to
tnstate
class12
bookproblem
p240
objective
q109
modelpaper
mar-2009
answered
May 22, 2014
by
meena.p
1
answer
The number of rows in the truth table of $\sim[p\land(\sim q)]$ is
tnstate
class12
bookproblem
p240
objective
q108
modelpaper
jun-2006
jun-2008
answered
May 22, 2014
by
meena.p
1
answer
If $\;p\;$ is $T$ and $\;q$ is $F$, then which of the following have the truth value$T$? \[\begin{array}{1 1}(1)p \vee q&(2)\sim p\vee q\\(3)p \vee \sim q&(4)p \wedge\sim q\end{array}\]
tnstate
class12
bookproblem
p240
objective
q107
modelpaper
oct-2007
mar-2010
answered
May 22, 2014
by
meena.p
1
answer
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