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Recent questions tagged objective

Corner points of the feasible region for an LPP are (0,2)(3,0),(6,0),(6,8) and (0,5).Let $F=4x+6y$ be the objective function,Maximum of F - Minimum of F =

asked Jan 8, 2013 by sreemathi.v

1 answer

Corner points of the feasible region for an LPP are $(0,2)(3,0),(6,0),(6,8) and (0,5)$.

asked Jan 8, 2013 by sreemathi.v

1 answer

The corner points of the feasible region determined by the system of linear constraints are $(0,0),(0,40),(20,40),(60,20),(60,0)$.The objective function is $Z=4x+3y.$ Compare the quantity in column A and column B: <br>$\begin{array}{1 1}column\; A & column\; B\\maximum\;of \;z &325\end{array}$

asked Jan 8, 2013 by sreemathi.v

1 answer

The plane 2x-3y+6z-11=0 makes an angle $\sin^{-1}(\alpha)$ with x-axis.The value of $\alpha$ is equal to

asked Jan 4, 2013 by sreemathi.v

1 answer

The locus represented by $xy+yz=0$ is

asked Jan 4, 2013 by sreemathi.v

1 answer

The area of the quadilateral $ABCD$ where $A(0,4,1),B(2,3,-1),C(4,5,0)$ and $D(2,6,2)$ is equal to

asked Jan 4, 2013 by sreemathi.v

1 answer

The reflection of the point $(\alpha,\beta,\gamma)$ in the xy-plane is

asked Jan 4, 2013 by sreemathi.v

1 answer

The sine of the angle between the straight line $\large \frac{x\;-2}{3}=\frac{y\;-3}{4}=\frac{z\;-4}{5}\;$ and the plane $2x-2y+z=5$ is

asked Jan 4, 2013 by sreemathi.v

1 answer

The distance of the plane $\overrightarrow{r}.\bigg(\frac{2}{7}\hat i+\frac{3}{7}\hat j-\frac{6}{7}\hat k\bigg)$=1 from the origin is

asked Jan 4, 2013 by sreemathi.v

1 answer

If the directions cosines of a line are $k,k,k$ then

asked Jan 4, 2013 by sreemathi.v

1 answer

Distance of the point $(\alpha,\beta,\gamma)$ from y-axis is

asked Jan 4, 2013 by sreemathi.v

1 answer

For the function $f(x)=x+\large \frac{1}{x},\normalsize x\in[1,3]$,the value of c for mean value theorem is

asked Jan 3, 2013 by sreemathi.v

1 answer

The value of c in Rolle's theorem for the function $f(x)=x^3-3x$ in the interval $[0,\sqrt 3]$ is

asked Jan 3, 2013 by sreemathi.v

1 answer

If $x=t^2$,$y=t^3,then\;\large \frac{d^2y}{dx^2}$ is

asked Jan 3, 2013 by sreemathi.v

1 answer

The derivative of $\cos^{-1}(2x^2-1)$ w.r.t $\cos^{-1}x$ is

asked Jan 3, 2013 by sreemathi.v

1 answer

If $y=\sqrt{sin x+y}$, then $\Large \frac{dy}{dx}$ is equal to

asked Jan 3, 2013 by sreemathi.v

1 answer

If $y=log\bigg(\large \frac{1-x^2}{1+x^2}\normalsize \bigg),then\;\large \frac{dy}{dx}$ is equal to

asked Jan 2, 2013 by sreemathi.v

1 answer

Let $f(x)=|sin x|$,then

asked Jan 2, 2013 by sreemathi.v

1 answer

If $f(x)=\left \{\begin{array}{1 1}mx+1, & if\;x\leq\large\frac{\pi}{2}\\\sin x+n, & if\;x>\large\frac{\pi}{2}\end{array}\right.$,is continuous at $x=\large\frac{\pi}{2}$,then

asked Jan 2, 2013 by sreemathi.v

1 answer

If $f(x)=x^2\sin \frac{1}{x}$,when $x\neq0$,then the value of the function f at $x=0$,so that the function is continuous at $x=0$,is

asked Jan 2, 2013 by sreemathi.v

1 answer

The function $f(x)=e^{|x|}$ is

asked Jan 2, 2013 by sreemathi.v

1 answer

The function $f(x)=\cot x$ is discontinuous on the set

asked Jan 2, 2013 by sreemathi.v

1 answer

The set of points where the functions f given by $f(x)=|2x-1|\sin x$ is differentiable is

asked Jan 2, 2013 by sreemathi.v

1 answer

The function $f(x)=\Large \frac{4-x^2}{4x-x^3}$ is

asked Jan 2, 2013 by sreemathi.v

1 answer

If f(x)=2x and $g(x)=\Large {\frac{x^2}{2}}\normalsize+1$,then which of the following can be a discontinuous function

asked Jan 2, 2013 by sreemathi.v

1 answer

There are two values of $a$ which makes the determinant $\Delta=\begin{vmatrix}1 & -2 & 5\\2 & a & 1\\0 & 4 & 2a\end{vmatrix}= 86,$ then sum of these number is

asked Dec 27, 2012 by sreemathi.v

1 answer

The value of the determinant $\begin{vmatrix}x & x+y & x+2y\\x+2y & x & x+y\\x+y & x+2y & x\end{vmatrix}$ is

asked Dec 27, 2012 by sreemathi.v

1 answer

If $x,y,z$ are all different from zero and $\begin{vmatrix}1+x & 1 & 1\\1 & 1+y & 1\\1 & 1 & 1+z\end{vmatrix}$ = 0, then value of $x^{-1}+y^{-1}+z^{-1}$ is

asked Dec 27, 2012 by sreemathi.v

1 answer

If A and B are invertible matrices,then which of the following is not correct?\[\begin{array}{1 1}(A)\quad adjA=|A|.A^{-1} & (B)\quad det(A)^{-1}=[det(A)]^{-1}\\(C)\quad (AB)^{-1}=B^{-1}A^{-1} & (D)\quad (A+B)^{-1}=B^{-1}+A^{-1}\end{array}\]

asked Dec 27, 2012 by sreemathi.v

1 answer

If $A=\begin{vmatrix}2 & \lambda & 3\\0 & 2 & 5\\1 & 1 & 3\end{vmatrix},$ then$\;A^{-1}\;$exists if $\lambda = ?$

asked Dec 27, 2012 by sreemathi.v

1 answer

If $f(x)=\begin{vmatrix}0 & x-a & x-b\\x-a & 0 & x-c\\x-b & x-c & 0\end{vmatrix},then$\[\begin{array}{1 1}(A)\quad f(a)=0 & (B)\quad f(b)=0\\(C)\quad f(0)=0 & (D)\quad f(1)=0\end{array}\]

asked Dec 27, 2012 by sreemathi.v

1 answer

The maximum value of $\begin{vmatrix}1 & 1 & 1\\1 & 1-sin\theta & 1\\1-\cos\theta & 1 & 1\end{vmatrix}\;(is\;\theta\; is\; real\;number)$

asked Dec 27, 2012 by sreemathi.v

1 answer

Let $f(t)=\begin{vmatrix}\cos t & t & 1\\2\sin t & t & 2t\\\sin t & t & t\end{vmatrix}$, then $\displaystyle \lim_{t \to 0}\Large \frac{f(t)}{t^2}$ is equal to

asked Dec 26, 2012 by sreemathi.v

1 answer

If A,B and C are angles of a triangle ,then the determinant$\begin{vmatrix}1 & \cos C & \cos B\\\cos C & 1 & \cos A\\\cos B & \cos A & 1\end{vmatrix}$ is equal to

asked Dec 26, 2012 by sreemathi.v

1 answer

The number of distinct real roots of $\begin{vmatrix}\sin x & \cos x & \cos x\\\cos x & \sin x & \cos x\\\cos x & \cos x &\sin x\end{vmatrix}=0\;$ in the interval $\large \frac{-\pi}{4}$$ \leq x \leq\large \frac {\pi}{4}$ is

asked Dec 26, 2012 by sreemathi.v

1 answer

The determinant $\begin{vmatrix}b^2 - ab & b - c & bc - ac\\ab - a^2 & a - b & b^2 - ab\\bc - ac & c - a & ab -a^2\end{vmatrix}$ equals

asked Dec 26, 2012 by sreemathi.v

1 answer

The area of a triangle with vertices(-3,0),(3,0) and (0,k) is 9 sq. units.The value of k will be\[ \begin{array}{1 1}(A)\quad 9 & (B)\quad 3\\(C)\quad-9 & (D)\quad 6\end{array}\]

asked Dec 26, 2012 by sreemathi.v

1 answer

Find the value of the determinant $\begin{vmatrix}a-b & b+c & a\\b-c & c+a & b\\c-a & a+b & c\end{vmatrix}$

asked Dec 26, 2012 by sreemathi.v

1 answer

If $\begin{vmatrix}2x & 5\\8 & x\end{vmatrix}=\begin{vmatrix}6 & -2\\7 & 3\end{vmatrix}$,then value of x is \[\begin{array}{1 1}(A)\quad3 & (B)\quad\pm 3\\(C)\quad \pm 6 & (D)\quad 6\end{array}\]

asked Dec 26, 2012 by sreemathi.v

1 answer

On using elementary row operations $R_2\times R_1-3R_2$ in the following matrix equation $\begin{bmatrix}4 & 2\\3 & 3\end{bmatrix}=\begin{bmatrix}1 & 2\\0 & 3\end{bmatrix}\begin{bmatrix}2 & 0\\1 & 1\end{bmatrix}$,we have:

asked Dec 24, 2012 by sreemathi.v

1 answer

On using elementary column operations $C_2\times C_2-2C_1$ in the following matrix equation\[\begin{bmatrix}1 & 3\\2 & 4\end{bmatrix}=\begin{bmatrix}1 & 1\\0 & 1\end{bmatrix}\begin{bmatrix}3 & 1\\2 & 4\end{bmatrix}, \text{we have}\]

asked Dec 24, 2012 by sreemathi.v

1 answer

For any two matrices A and B,we have

asked Dec 24, 2012 by sreemathi.v

1 answer

If A is a square matrix such that $A^2=I$,then $(A-I)^3+(A+I)^3-7A$ is equal to \[(A)\quad A\quad (B)\quad I-A\quad (C)\quad I +A\quad(D)\quad 3A\]

asked Dec 24, 2012 by sreemathi.v

1 answer

If A and B are matrices of same order ,then (AB'-BA') is a

asked Dec 24, 2012 by sreemathi.v

1 answer

If A is matrix of order $m\times n$ and B is a matrix such that AB' and B'A are both defined,then order of matrix B is

asked Dec 24, 2012 by sreemathi.v

1 answer

The matrix $\begin{bmatrix}0 & 5 & 8\\5 & 0 & 12\\8 & 12 & 0\end{bmatrix}$ is

asked Dec 24, 2012 by sreemathi.v

1 answer

The matrix $\begin{bmatrix}1 & 0 & 0\\0 & 2 & 0\\0 & 0 & 4\end{bmatrix}$ is a

asked Dec 23, 2012 by sreemathi.v

1 answer

If Matrix $A=[a_{ij}]_{2\times 3},$ where$a_{ij} \begin{array}{ 1 1}=1\;if\;i\neq j\\=0\;if\;i=j\end{array}$ then $\;A^2\;$ is equal to:

asked Dec 23, 2012 by sreemathi.v

1 answer

If $A=\begin{bmatrix}0 & 1\\1 & 0\end{bmatrix},$then $A^2$ is equal to

asked Dec 23, 2012 by sreemathi.v

1 answer

If A and B are two matrices of the order $3\times m\;and\;3\times n,$respectively,and m=n,then the order of matrix(5A-2B) is

asked Dec 23, 2012 by sreemathi.v

1 answer

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