Recent questions tagged short-answer

Sketch the region and find the area bounded between $y=\sqrt {5-x^2}$ and $y=|x-1|$ using integration.

asked Feb 10, 2014 by rvidyagovindarajan_1

1 answer

In the figure below ,the feasible region (shaded)for a LPP is shown .Determine the maximum and minimum value of $Z=x+2y$

asked Aug 20, 2013 by sreemathi.v

1 answer

The feasible region for a LPP is shown in fig 12.10.Evaluate $Z=4x+y$ at each of the corner points of this region.Find the minimum value of $Z$,if it exists.

asked Aug 20, 2013 by sreemathi.v

1 answer

The feasible region for a LPP is shown in fig.12.9.Find the maximum value of $z=11x+7y$

asked Aug 20, 2013 by sreemathi.v

1 answer

The feasible region for a LPP is shown in fig.12.9.Find the minimum value of $z=11x+7y$

asked Aug 20, 2013 by sreemathi.v

1 answer

Feasible region (shaded) for a LPP is shown. Maximise $z=5x+7y$

asked Aug 20, 2013 by sreemathi.v

1 answer

Determine the maximum value of $z=3x+4y$ if the feasible region (shaded) for a LPP is shown in fig:

asked Aug 20, 2013 by sreemathi.v

1 answer

The following function $h: \{2,3,4,5,\} \to \{7,9,11,13\}$ with $ h=\{(2,7),(3,9),(4,11),(5,13) \}$ is invertible. True or False?

asked Mar 19, 2013 by balaji.thirumalai

1 answer

If the coordinates of the vertices of an equilateral triangle with sides of length 'a' are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ then \[{\begin{vmatrix}x_1 & y_1 &1\\x_2 & y_2 &1\\x_3 & y_3 & 1\end{vmatrix}}^2=\frac{3a^4}{4}.\]

asked Mar 15, 2013 by sreemathi.v

1 answer

If A+B+C=0,then prove that $\begin{vmatrix}1& cosC &cos B\\cos C& 1 &cos A\\cos B & cos A &1\end{vmatrix}=0.$

asked Mar 15, 2013 by sreemathi.v

1 answer

Using the properties of determinants,\[\begin{vmatrix}a^2+2a &2a+1 & 1\\2a+1 & a+2 & 1\\3 & 3 & 1\end{vmatrix}=(a-1)^3\]

asked Mar 15, 2013 by sreemathi.v

1 answer

If $\begin{bmatrix}xy & 4\\z+6 & x+y\end{bmatrix}=\begin{bmatrix}8 & w \\ 0 & 6\end{bmatrix}$ then find the value of x,y,z and w

asked Mar 7, 2013 by sreemathi.v

1 answer

Find inverse,by elementary row operations(if possible),of the following matrices$(ii)\quad\begin{bmatrix}1 &- 3\\-2 & 6\end{bmatrix}$

asked Mar 7, 2013 by sreemathi.v

1 answer

If $A=\begin{bmatrix}1 & 2\\4 & 1\\5 & 0\end{bmatrix},B=\begin{bmatrix}1 & 2\\6 & 4\\7 & 3\end{bmatrix},then\;verify\;that:(ii)\quad(A-B)'=A'-B'$.

asked Mar 6, 2013 by sreemathi.v

1 answer

$A=\begin{bmatrix}0 & -1 & 2\\4 & 3 & -4\end{bmatrix}\;and\;B=\begin{bmatrix}4 & 0\\1 & 3\\2 & 6\end{bmatrix},then\;verify \;that:(iii)\quad(KA)'=(KA')$

asked Mar 6, 2013 by sreemathi.v

1 answer

$A=\begin{bmatrix}0 & -1 & 2\\4 & 3 & -4\end{bmatrix}\;and\;B=\begin{bmatrix}4 & 0\\1 & 3\\2 & 6\end{bmatrix},then\;verify \;that:(ii)\quad(AB)'=B'A'$

asked Mar 6, 2013 by sreemathi.v

1 answer

If $X=\begin{bmatrix}3 & 1 & 1\\5 & 2 & 3\end{bmatrix}$ and $Y=\begin{bmatrix}2 & 1 & 1\\7 & 2 & 4\end{bmatrix}$, find $2X-3Y$

asked Mar 4, 2013 by sreemathi.v

1 answer

Construct $a_{2\times 2}$ matrix where $a_{ij} =|2i+3j|$

asked Mar 4, 2013 by sreemathi.v

1 answer

Are the following set of ordered pairs function? If so,examine whether the mapping is injective or subjective $\;\{(a,b)\;:\;a\;$ is a person,$b\;$ is an ancestor of $a\}$

asked Mar 1, 2013 by meena.p

1 answer