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Questions >> TN XII Math

TN XII Math

Applications of Matrices and Determinants

Complex Numbers

Analytical Geometry

Differential Calculus Applications - I

Differential Calculus Applications - II

Integral Calculus and its applications

Differential Equations

Discrete Mathematics

Probability Distribution

Objective type Questions and Answers

If p stands for the statement “Sita likes reading” and q for the statement “Sita likes playing’ what does ∼p ∧ ∼ q stand for?

answered Jan 24, 2022 by manojvikvetrivel2004

1 answer

Write down the truth value (T or F) of the following statements

answered Aug 16, 2021 by randyranjith214

1 answer

Let p be “Kamala is going to school” and q be “There are twenty students in the class “. Give a simple verbal sentence which describes each of the following statements : (i) p ∨ q (ii) p ∧ q (iii) ∼ p (iv) ∼ q (v) ∼p ∨ q

answered May 24, 2021 by benitaoliva23

1 answer

A discrete random variable $x$ has the following probability distributioxs. Find $p(3$ $<$ $x$ $<$ $7)$ $\begin{array} {llllllll} X:& 0& 1& 2& 3& 4& 5& 6& 7& 8 &\\ {P(X):}& a& 3a &5a& 7a& 9a &11a &13a &15a&17a \end{array}$

answered Aug 27, 2020 by godfreymanchishi25

1 answer

Two geographical regions separated by high mountains are

asked Jun 3, 2020 by meena.clay6

0 answers

Show that the points $(1 ,3 ,1), (1, 1, -1),(-1,1, 1),(2 ,2,- 1)$ are lying on the same plane.(Hint : It is enough to prove any three vectors formed by these four points are coplanar).

answered Feb 15, 2020 by sachinbista868

1 answer

A discrete random variable $x$ has the following probability distributioxs.Find $p(x<3)$ $\begin{array} {llllllll} X:& 0& 1& 2& 3& 4& 5& 6& 7& 8 &\\ {P(X):}& a& 3a &5a& 7a& 9a &11a &13a &15a&17a \end{array}$

answered Feb 11, 2020 by rashi.goyal2002

1 answer

If the magnitude of moment about the point $\overrightarrow{j}+\overrightarrow{k}$ of a force $\overrightarrow{i}+\overrightarrow{aj}-\overrightarrow{k}$ acting through the point $\overrightarrow{i}+\overrightarrow{j}$ is $\sqrt{8}$ then the value of $a$ is

answered Feb 9, 2020 by kmittul2

1 answer

The projection of $\overrightarrow{OP}$ on a unit vector $\overrightarrow{OQ}$ equals thrice the area of parallelogram $OPRQ$ . Then $\angle{POQ}$ is

answered Jun 10, 2019 by rajarathinamr2017

1 answer

Observe the pictures A and B carefully Which of the following statements is correct for the above given pictures?

answered Feb 21, 2018 by swapnarajan1982

1 answer

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

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

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

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

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

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

answered May 23, 2014 by meena.p

1 answer

The distribution function $F(X)$ of a random variable $X$ is

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

answered May 23, 2014 by meena.p

1 answer

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

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

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

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

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

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

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

answered May 23, 2014 by meena.p

1 answer

Var $(4X+3)$ is

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

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

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

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

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

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

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

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

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

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

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 $(k<n)$

answered May 22, 2014 by meena.p

1 answer

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

answered May 22, 2014 by meena.p

1 answer

Which of the following is correct?

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

answered May 22, 2014 by meena.p

1 answer

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

answered May 22, 2014 by meena.p

1 answer

In the multiplicative group of cube root of unity, the order of $w^{2}$ is

answered May 22, 2014 by meena.p

1 answer

The order of $[7]$ in $(Z_{9},+_{9})$ is

answered May 22, 2014 by meena.p

1 answer

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