Recent questions tagged sec-c

Two tailors P and Q earn Rs. 150 and Rs. 200 per days respectively.P can stitch 6 shirts and 4 trousers a day,while Q can stitch 10 shirts and 4 trousers per day.How many days should each work to produce at least 60 shirts and 32 trousers at minimum labour cost?

asked Apr 10, 2013 by sreemathi.v

0 answers

Show that the given system of equations are consistent and non infinite number of a solutions $ 2x+3y-z=7 \\ x+2y-z=4 \\ 3x-y+4z=5$

asked Apr 10, 2013 by meena.p

1 answer

Using matrices, solve the following system of equations:$x+\frac{2}{y}+3xz=-1,2x-\frac{4}{y}-3xz=3,3x+\frac{6}{y}-2xz=4$

asked Apr 8, 2013 by meena.p

1 answer

Solve the following system of equations by matrix method:x+2y+z=7,x+3z=11,2x-3y=1.

asked Apr 5, 2013 by sreemathi.v

1 answer

If a,b,c are positive and unequal,show that the value of the determinant $\Delta=\begin{vmatrix}a & b & c\\b & c & a\\c & a & b\end{vmatrix}$ is negative.

asked Apr 5, 2013 by sreemathi.v

1 answer

The sum of three numbers is 6.If we multiply the third number by 2 and add the first number to the result,we get 7.By adding second and third numbers to three times the first number we get 12.Use determinants to find the numbers.

asked Apr 5, 2013 by sreemathi.v

1 answer

If A=$\begin{bmatrix}1 & 2& 2\\2 & 1 & 2\\2 & 2&1\end{bmatrix}$ verify that $A^2-4A-5I=0.$

asked Apr 4, 2013 by sreemathi.v

1 answer

If $A=\begin{bmatrix}3 & 1\\7 & 5\end{bmatrix}$ find x & y such that $A^2+xI=yA$

asked Apr 4, 2013 by sreemathi.v

1 answer

Find the inverse of the following matrices if it exists using elementary operations $\begin{bmatrix}2 & -6\\1 & -2\end{bmatrix}$

asked Apr 4, 2013 by sreemathi.v

1 answer

Find the inverse of the following matrices if it exists using elementary operations $\begin{bmatrix}2 & 5\\1 & 3\end{bmatrix}$

asked Apr 4, 2013 by sreemathi.v

1 answer

If $A=\begin{bmatrix}1 & -1\\2 & 3\end{bmatrix}$ and $B=\begin{bmatrix}2 & 1\\1 & 0\end{bmatrix}$ prove that $(A+B)^2\neq A^2+2AB+B^2$

asked Apr 4, 2013 by sreemathi.v

1 answer

If $A=\begin{bmatrix}0 & 1\\0 &0\end{bmatrix}$ prove that for all $n\in N.(aI+bA)^n=a^nI+na^{n-1}bA.$where I is the identity matrix of order 2.

asked Apr 4, 2013 by sreemathi.v

1 answer

If A=$\begin{bmatrix}cos\theta & -sin\theta\\sin\theta & cos\theta\end{bmatrix}$.Then show that $A^n=\begin{bmatrix}cos n \theta&-sin n\theta\\sin n\theta & cos n\theta\end{bmatrix}$where n is a positive integer.

asked Apr 4, 2013 by sreemathi.v

1 answer

For what valus of $k$, the system of equations $kx+y+z=1\;,x+ky+z=1\;,x+y+kz=1\;,$have (i) unique solution (ii) more than one solution (iii) no solution.

asked Apr 2, 2013 by poojasapani_1

1 answer

Discuss the solutions of the system of equations for all values of $\lambda$. $ x+y+z=2\;,2x+y-2z=2\;,\lambda\;x+y+4z=2$

asked Apr 2, 2013 by poojasapani_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y-z=1\;,2x+2y-2z=2\;,-3x-3y+3z=-3$

asked Mar 30, 2013 by poojasapani_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x-3y-8z=-10\;,3x+y-4z=0\;,2x+5y+6z-13=0 $

asked Mar 30, 2013 by poojasapani_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $4x+3y+6z=25\;,x+5y+7z=13\;,2x+9y+z=1 $

asked Mar 30, 2013 by poojasapani_1

1 answer

A small seminar hall can hold 100 chairs.Three different colours(red,blue and green) of chairs are available. The cost of a red chair is Rs.240, cost of a blue chair is Rs.260, and the cost of a green chair is Rs.300. The total cost of chair is Rs.25,000. Find atleast 3 different solution of the number of chairs in each colour to be purchased.

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method: $\large \frac{1}{x}+\frac{2}{y}-\frac{1}{z}=1\;;\frac{2}{x}+\frac{4}{y}+\frac{1}{z}=5\;;\frac{3}{x}-\frac{2}{y}-\frac{2}{z}=0$

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $ 2x-y+z=2\;,6x-3y+3z=6\;,4x-2y+2z=4$

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $x+2y+z=6\;,3x+3y-z=3\;,2x+y-2z=-3 $

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $ 2x+y-z=4\;,x+y-2z=0\;,3x+2y-3z=4 $

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $x+y+z=4\;,x-y+z=2\;,2x+y-z=1 $

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve by matrix inversion method following system of linear equation$\;x-3y-8z+10=0\;,3x+y=4\;,2x+5y+6z=13$

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve by matrix inversion method following system of linear equation $2x-y+z=7\;,3x+y-5z=13\;,x+y+z=5$

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve by matrix inversion method following system of linear equation $\;x+y+z=9\;,\;2x+5y+7z=52\;,2x+y-z=0$

asked Mar 29, 2013 by poojasapani_1

1 answer

Find the particular solution of the differential equation $\large\frac{dx}{dy}$$+x\cot y=2y+y^2\cot y,(y\neq 0)$,given that $x=0$ when $y=\large \frac{\pi}{2}$.

asked Mar 22, 2013 by sreemathi.v

1 answer

Find the area of the region $\{(x,4):y^2\leq 4x,4x^2+4y^2\leq9\}$ using method of integration.

asked Mar 22, 2013 by sreemathi.v

1 answer

Show that the differential equation $[xsin^2\big(\frac{y}{x}\big)-y]dx+xdy=0.$ is homogeneous.Find the particular solution of this differential equation ,given that $y=\frac{\pi}{4}$ when x=1.

asked Mar 22, 2013 by sreemathi.v

1 answer