Recent questions tagged q4-2

By giving counter example show that the statement "The equation $x^2-1=0$ does not have a root lying between $0$ and $2$." is false.

asked Jul 29, 2014 by rvidyagovindarajan_1

1 answer

For the statement "If you live in Delhi then you have winter clothes.' is the statement "If you have winter clothes then you live in Delhi" contra positive or converse?

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

State whether the 'or' in the statement "To apply for a driving licence, you should have a ration card or a passport." is inclusive or or exclusive or. Give reason.

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Differentiate the following function: $\tan^{-1} \bigg( \large \frac{\cos x}{1+\sin x} \bigg)$

asked May 1, 2014 by meena.p

0 answers

The coordinates of a point in the $xy$ plane are of the form ?

asked Apr 16, 2014 by rvidyagovindarajan_1

1 answer

A discrete random variable X has the following probability distributions (see table below). (ii) Find P(x < 3)

asked Sep 16, 2013 by sreemathi.v

1 answer

Prove that the following functions do not have maxima or minima: $ (ii)\: g(x)=\log x $

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the probability distribution of number of tails in the simultaneous tosses of three coins.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

Solve : $x^4-x^3+x^2-x+1=0$

asked Jun 13, 2013 by sreemathi.v

1 answer

Prove that the following functions are not monotonic in the intervals given. $x(x-1)(x+1) $ on $[0 , 2 ]$

asked May 4, 2013 by poojasapani_1

1 answer

At what points on the curve $x^{2}+y^{2}-2x-4y+1=0$ the tangent is parallel to $y$- axis.

asked May 3, 2013 by poojasapani_1

1 answer

Evaluate: $\int\limits_{0}^{\infty}x^{6}e^{\large\frac{-1}{2}}dx$

asked Apr 27, 2013 by poojasapani_1

1 answer

Find $\large\frac{\partial w}{\partial u}$ and $\large\frac{\partial w}{\partial v}$ if$\;w=x^{2}+y^{2}$ where $x=u^{2}-v^{2},y=2uv$

asked Apr 26, 2013 by poojasapani_1

1 answer

The edge of a cube was found to be $30cm$ with a possible error in mesurement of $ 0.1cm$. Use differentials to estimate the maximum possible error in computing the surfacearea of the cube .

asked Apr 24, 2013 by poojasapani_1

1 answer

Alpha particles are emitted by a radio active source at an average rate of $5$ in a $20$ minutes interval.Using poisson distribution find the probability that there will be at least $2$ emission in a particular $20$ minutes interval .$[e^{-5}=0.0067].$

asked Apr 21, 2013 by poojasapani_1

1 answer

Four coins are tossed simultaneously.what is the probability of getting at least two heads

asked Apr 21, 2013 by poojasapani_1

1 answer

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

asked Apr 18, 2013 by poojasapani_1

1 answer

Prove that $\left ( 1+ \mathit{i\sqrt{3}} \right )^{\mathit{n}} + \left ( 1- \mathit{i\sqrt{3}} \right )^{\mathit{n}} = 2^{n+1} \cos \; \large\frac{n\pi}{3}$

asked Apr 16, 2013 by geethradh

1 answer

Find the equation of the two tangents that can be drawn, from the point $(1 , 3 )$ to the ellipse $4x^{2}+9y^{2}=36$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equations and length of major and minor axes of $5x^{2}+9y^{2}+10x-36y-4=0$

asked Apr 10, 2013 by poojasapani_1

1 answer

In the matrix $A=\begin{bmatrix} 2 & 5 & 19 & -7 \\ 35 & -2 & \frac{5}{2} & 12 \\ \sqrt 3 & 1 & -5 & 17 \end{bmatrix} $Write (ii) The number of elements .

asked Apr 3, 2013 by sreemathi.v

1 answer

Find the transpose of each of the following matrices : $ (ii)\begin{bmatrix} 1&-1 \\ 2 & 3 \end{bmatrix} $.

asked Apr 3, 2013 by sreemathi.v

1 answer

Find the value of $m$ for which the vectors $\overrightarrow{a}=\overrightarrow{3i}+\overrightarrow{2j}+\overrightarrow{9k}$ and $\overrightarrow{b}=\overrightarrow{i}+\overrightarrow{mj}+\overrightarrow{3k}$ are parallel

asked Apr 2, 2013 by poojasapani_1

1 answer

Find the real values of $\mathit{x}$ and $\mathit{y}$ for which the following equation: $\large\frac{\left ( 1+\mathit{i} \right )\mathit{x}-2\mathit{i}}{3+\mathit{i}} + \frac{\left ( 2-3\mathit{i} \right )\mathit{y}+\mathit{i}}{3-\mathit{i}} = $$\mathit{i}$

asked Apr 1, 2013 by geethradh

1 answer

Find the inverse of following matrix: $\begin{bmatrix} 1 & 3 & 7 \\4 & 2 & 3 \\1 & 2 & 1 \end{bmatrix}$

asked Mar 28, 2013 by poojasapani_1

1 answer

Consider a binary operation $\ast$ on the set $\{1, 2, 3, 4, 5\}$ given by the following multiplication table (Table 1.2). \begin{matrix} *&1&2&3&4&5 \\ 1&1&1&1&1&1 \\ 2&1&2&1&2&1 \\ 3&1&1&3&1&1 \\ 4&1&2&1&4&1 \\ 5&1&1&1&1&5 \end{matrix} (ii) is $\ast$ commutative?

asked Mar 20, 2013 by balaji.thirumalai

1 answer

Construct a 2 x 2 matrix, $A=[a_{ij}],$whose elements are given by:$ (ii) a_{ij}=\frac{i}{j}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Ask Questions, Get Answers

By giving counter example show that the statement "The equation $x^2-1=0$ does not have a root lying between $0$ and $2$." is false.

For the statement "If you live in Delhi then you have winter clothes.' is the statement "If you have winter clothes then you live in Delhi" contra positive or converse?

State whether the 'or' in the statement "To apply for a driving licence, you should have a ration card or a passport." is inclusive or or exclusive or. Give reason.

Differentiate the following function: $\tan^{-1} \bigg( \large \frac{\cos x}{1+\sin x} \bigg)$

The coordinates of a point in the $xy$ plane are of the form ?

A discrete random variable X has the following probability distributions (see table below). (ii) Find P(x < 3)

Prove that the following functions do not have maxima or minima: $ (ii)\: g(x)=\log x $

Find the probability distribution of number of tails in the simultaneous tosses of three coins.

Solve : $x^4-x^3+x^2-x+1=0$

Prove that the following functions are not monotonic in the intervals given. $x(x-1)(x+1) $ on $[0 , 2 ]$

At what points on the curve $x^{2}+y^{2}-2x-4y+1=0$ the tangent is parallel to $y$- axis.

Evaluate: $\int\limits_{0}^{\infty}x^{6}e^{\large\frac{-1}{2}}dx$

Find $\large\frac{\partial w}{\partial u}$ and $\large\frac{\partial w}{\partial v}$ if$\;w=x^{2}+y^{2}$ where $x=u^{2}-v^{2},y=2uv$

The edge of a cube was found to be $30cm$ with a possible error in mesurement of $ 0.1cm$. Use differentials to estimate the maximum possible error in computing the surfacearea of the cube .

Alpha particles are emitted by a radio active source at an average rate of $5$ in a $20$ minutes interval.Using poisson distribution find the probability that there will be at least $2$ emission in a particular $20$ minutes interval .$[e^{-5}=0.0067].$

Four coins are tossed simultaneously.what is the probability of getting at least two heads

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

Prove that $\left ( 1+ \mathit{i\sqrt{3}} \right )^{\mathit{n}} + \left ( 1- \mathit{i\sqrt{3}} \right )^{\mathit{n}} = 2^{n+1} \cos \; \large\frac{n\pi}{3}$

Find the equation of the two tangents that can be drawn, from the point $(1 , 3 )$ to the ellipse $4x^{2}+9y^{2}=36$

Find the equations and length of major and minor axes of $5x^{2}+9y^{2}+10x-36y-4=0$

In the matrix $A=\begin{bmatrix} 2 & 5 & 19 & -7 \\ 35 & -2 & \frac{5}{2} & 12 \\ \sqrt 3 & 1 & -5 & 17 \end{bmatrix} $Write (ii) The number of elements .

Find the transpose of each of the following matrices : \( (ii)\begin{bmatrix} 1&-1 \\ 2 & 3 \end{bmatrix} \).

Find the value of $m$ for which the vectors $\overrightarrow{a}=\overrightarrow{3i}+\overrightarrow{2j}+\overrightarrow{9k}$ and $\overrightarrow{b}=\overrightarrow{i}+\overrightarrow{mj}+\overrightarrow{3k}$ are parallel

Find the real values of $\mathit{x}$ and $\mathit{y}$ for which the following equation: $\large\frac{\left ( 1+\mathit{i} \right )\mathit{x}-2\mathit{i}}{3+\mathit{i}} + \frac{\left ( 2-3\mathit{i} \right )\mathit{y}+\mathit{i}}{3-\mathit{i}} = $$\mathit{i}$

Find the inverse of following matrix: $\begin{bmatrix} 1 & 3 & 7 \\4 & 2 & 3 \\1 & 2 & 1 \end{bmatrix}$

Consider a binary operation $\ast$ on the set \(\{1, 2, 3, 4, 5\}\) given by the following multiplication table (Table 1.2). \begin{matrix} *&1&2&3&4&5 \\ 1&1&1&1&1&1 \\ 2&1&2&1&2&1 \\ 3&1&1&3&1&1 \\ 4&1&2&1&4&1 \\ 5&1&1&1&1&5 \end{matrix} (ii) is $\ast$ commutative?

Construct a 2 x 2 matrix, $A=[a_{ij}],$whose elements are given by:$ (ii) a_{ij}=\frac{i}{j}\qquad$