Recent questions tagged q5-2

State whether the statement "The centre of a circle bisects each chord of the circle." is true or false. Give reason.

asked Jul 29, 2014 by rvidyagovindarajan_1

1 answer

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $ f (x) = \sin x+\cos x, x \in [0,\pi] $

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as six appears on at least one die

asked Jun 20, 2013 by balaji.thirumalai

1 answer

Answer the following as true or false. (ii) Two collinear vectors are always equal in magnitude.

asked May 16, 2013 by sreemathi.v

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)= x^{3}-3x+1$

asked May 4, 2013 by poojasapani_1

1 answer

Using Euler's theorem prove the following: $\;u=xy^{2}\sin\large(\frac{x}{y}),$ show that $x\large\frac{\partial u}{\partial x}+$$y=\large\frac{\partial u}{\partial y}=$$3u.$

asked Apr 26, 2013 by poojasapani_1

1 answer

The radius of a circular disc is given as $24cm$ with a maximum error in mesurement of $0.02cm $ compute the relative error?

asked Apr 24, 2013 by poojasapani_1

1 answer

The mean weight of $500 $ male students in a certain college in $151$ pounds and the standard deviation is $15$ pounds. Assuming the weights are normally distributed, find how many students weigh more than $185$ pounds

asked Apr 22, 2013 by poojasapani_1

1 answer

The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$ out of $1000$ taxi drivers find approximately the number of driver with more than $3$ accidents in a year $[e^{-3}=0.0498].$

asked Apr 21, 2013 by poojasapani_1

1 answer

Verify that the following are probability density functions.$f(x)=\large\frac{1}{\pi}\frac{1}{(1+x^{2})'}$$-\infty$$<$$x$$<\infty $

asked Apr 18, 2013 by poojasapani_1

1 answer

Find the eccentricity, centre , foci , and vertices of the following hyperbolas and draw their diagrams: $\large\frac{y^{2}}{9}-\frac{x^{2}}{25}=$$1$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses: $9x^{2}+16y^{2}=144$

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the centre and radius of the following spheres : $|\overrightarrow{2r}+(\overrightarrow{3i}-\overrightarrow{j}+\overrightarrow{4k})|=4$

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the value of x if : $ \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} = \begin{bmatrix} x & 3 \\ 2x & 5 \end{bmatrix} $

asked Apr 2, 2013 by sreemathi.v

1 answer

If$A=\begin{bmatrix} 5 & 2 \\7 & 3 \end{bmatrix}$and$B=\begin{bmatrix} 2 & -1 \\-1 & 1 \end{bmatrix}$ verify that$(AB)^{T}=B^{T}A^{T}$

asked Mar 28, 2013 by poojasapani_1

1 answer

State with reason whether following functions have inverse: (ii) $g: \{ 5,6,7,8\} \to \{1,2,3,4\}$ with $g= \{(5,4),(6,3),(7,4),(8,2)\}$

asked Mar 19, 2013 by balaji.thirumalai

1 answer

Evaluate the determinants: $ \begin{vmatrix} 3&-4&5 \\ 1&1&-2 \\2&3&1 \end{vmatrix}$

asked Mar 6, 2013 by sreemathi.v

1 answer

For the matrices $A$ and $B$, verify that $(AB)' = B'A'$ , where $$ \text{ (ii) } A = \begin{bmatrix} 0 \\ 1 \\ 2 \end{bmatrix} \text{ , } B = \begin{bmatrix} 1 & 5 & 7 \end{bmatrix} $$

asked Mar 5, 2013 by balaji.thirumalai

1 answer

Construct a 3 x 4 matrix,whose elements are given by: $\;a_{ij}=2i-j$

asked Dec 7, 2012 by sreemathi.v

1 answer

Ask Questions, Get Answers

State whether the statement "The centre of a circle bisects each chord of the circle." is true or false. Give reason.

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $ f (x) = \sin x+\cos x, x \in [0,\pi] $

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as six appears on at least one die

Answer the following as true or false. (ii) Two collinear vectors are always equal in magnitude.

Find the intervals on which $f$ is increasing or decreasing. $f(x)= x^{3}-3x+1$

Using Euler's theorem prove the following: $\;u=xy^{2}\sin\large(\frac{x}{y}),$ show that $x\large\frac{\partial u}{\partial x}+$$y=\large\frac{\partial u}{\partial y}=$$3u.$

The radius of a circular disc is given as $24cm$ with a maximum error in mesurement of $0.02cm $ compute the relative error?

The mean weight of $500 $ male students in a certain college in $151$ pounds and the standard deviation is $15$ pounds. Assuming the weights are normally distributed, find how many students weigh more than $185$ pounds

The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$ out of $1000$ taxi drivers find approximately the number of driver with more than $3$ accidents in a year $[e^{-3}=0.0498].$

Verify that the following are probability density functions.$f(x)=\large\frac{1}{\pi}\frac{1}{(1+x^{2})'}$$-\infty$$<$$x$$<\infty $

Find the eccentricity, centre , foci , and vertices of the following hyperbolas and draw their diagrams: $\large\frac{y^{2}}{9}-\frac{x^{2}}{25}=$$1$

Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses: $9x^{2}+16y^{2}=144$

Find the centre and radius of the following spheres : $|\overrightarrow{2r}+(\overrightarrow{3i}-\overrightarrow{j}+\overrightarrow{4k})|=4$

Find the value of x if : $ \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} = \begin{bmatrix} x & 3 \\ 2x & 5 \end{bmatrix} $

If$A=\begin{bmatrix} 5 & 2 \\7 & 3 \end{bmatrix}$and$B=\begin{bmatrix} 2 & -1 \\-1 & 1 \end{bmatrix}$ verify that\((AB)^{T}=B^{T}A^{T}\)

State with reason whether following functions have inverse: (ii) \(g: \{ 5,6,7,8\} \to \{1,2,3,4\}\) with \(g= \{(5,4),(6,3),(7,4),(8,2)\}\)

Evaluate the determinants: $ \begin{vmatrix} 3&-4&5 \\ 1&1&-2 \\2&3&1 \end{vmatrix}$

For the matrices $A$ and $B$, verify that $(AB)' = B'A'$ , where $$ \text{ (ii) } A = \begin{bmatrix} 0 \\ 1 \\ 2 \end{bmatrix} \text{ , } B = \begin{bmatrix} 1 & 5 & 7 \end{bmatrix} $$

Construct a 3 x 4 matrix,whose elements are given by: $\;a_{ij}=2i-j$