Recent questions tagged q4

Find the area of the segment cut off from the parabola $ y^2=2x$ by the line $ y=4x-1$

asked Feb 4, 2013 by meena.p

1 answer

For what value of x, the matrix $ \begin{bmatrix} 5-x & x+1 \\ 2 & 4 \end{bmatrix} $ is singular?

asked Feb 4, 2013 by thanvigandhi_1

1 answer

Write the adjoint of the following matrix $ \begin{bmatrix} 2 & -1 \\ 4 & 3 \end{bmatrix} $

asked Feb 4, 2013 by thanvigandhi_1

1 answer

If A is a square matrix of order 3 such that |adj A|=64. Find |A'|.

asked Feb 3, 2013 by thanvigandhi_1

1 answer

Find the values of x, if $\begin{bmatrix} 2 & 4 \\ 5 & 1 \end{bmatrix} = \begin{bmatrix} 2x & 4 \\ 6 & x \end{bmatrix} $

asked Feb 3, 2013 by thanvigandhi_1

1 answer

Find the product of matrix $ A = \begin{bmatrix} 3 \\ 2 \\ -5 \end{bmatrix} $ and its transpose.

asked Feb 2, 2013 by thanvigandhi_1

1 answer

If $ A = [a_{ij}]_{m*n}$ is a skew-symmetric, what is the value of $ a_{ij}\: \forall \: i$?

asked Jan 31, 2013 by thanvigandhi_1

0 answers

$\Large\int \frac {dx}{\sin x+\sqrt 3 \cos x} =$ \begin{array}{1 1}(a)\;\frac{1}{2} log \tan \bigg [\frac{\pi}{2}+\frac{\pi}{6}\bigg] & \quad (b)\;\frac{1}{2} log \bigg\{cosec \bigg(x+\frac{\pi}{3}\bigg)-\cot \bigg(x+\frac{\pi}{3}\bigg)\bigg\} & \\ (c)\;\frac{1}{2} log \bigg\{\sec \bigg(x-\frac{\pi}{6}\bigg)+\tan \bigg(x-\frac{\pi}{6}\bigg)\bigg\} & \quad (d)\;-\frac{1}{2} log \bigg\{cosec \bigg(x+\frac{\pi}{3}\bigg)+\cot \bigg(x+\frac{\pi}{3}\bigg)\bigg\}\end{array}

asked Jan 30, 2013 by meena.p

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For what value of x, the following matrix is singular? $ \begin{bmatrix} -1 & 2 \\ 4 & x \end{bmatrix} $

asked Jan 30, 2013 by thanvigandhi_1

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If $ A = \begin{bmatrix} 2 & -2 \\ -3 & 4 \end{bmatrix} $, find $ -A^2+6A.$

asked Jan 29, 2013 by thanvigandhi_1

1 answer

The value of a for which the function $ f(x)=a\sin(x)+\frac{1}{3}\sin 3x.$has an extreme at $ x=\frac{\pi}{3}$ is\[(a)\;1\qquad(b)\;-1\qquad(c)\;0 \qquad(d)\;2\]

asked Jan 28, 2013 by meena.p

0 answers

If $A = \begin{bmatrix} 2 & 5 \\ 6 & -3 \end{bmatrix} $then show that : |5A|=25|A|.

asked Jan 28, 2013 by thanvigandhi_1

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The point (3,-2),(x,2),(8,8) are collinear, find x using determinants.

asked Jan 27, 2013 by thanvigandhi_1

1 answer

If $ A = [ a_{ij}],$ where $ a_{ij}= \left\{ \begin{array}{l l}i+j, & \quad if\; { i \geq j}\\ i-j, & \quad if\; { i < j} \\ \end{array}. \right.$ construct a 3 x 2 matrix A.

asked Jan 25, 2013 by thanvigandhi_1

0 answers

If $ \begin{bmatrix} x+3 & 4 \\ y-4 & x+y \end{bmatrix} = \begin{bmatrix} 5 & 4 \\ 3 & 9 \end{bmatrix} $, find x and y.

asked Jan 25, 2013 by thanvigandhi_1

1 answer

Find the set of all points where the function f(x) = 2x |x| is differentiable.

asked Jan 24, 2013 by meena.p

1 answer

let A be the set of all students of class XII in a school and R be the relation, having the same *** on A, and then prove that R is an equivalence relation. Do you think, co-education may be helpful in child development and why?

asked Jan 24, 2013 by shanthinig

0 answers

Evaluate : $ \int \large\frac{1+\cos x}{1-\cos x}$$dx $

asked Jan 24, 2013 by thanvigandhi_1

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Inverse of a square matrix is unique. Give an example to prove it?

asked Jan 24, 2013 by meena.p

0 answers

Simplify $\tan^{-1}\big(\large \frac{\cos x}{1+\sin x}\big)$

asked Jan 23, 2013 by meena.p

1 answer

Find the values of x, y and z from the following equation: $ \begin{bmatrix} x+y+z \\ x+z \\ y+z \end{bmatrix} = \begin{bmatrix} 9 \\ 5 \\ 7 \end{bmatrix} .$

asked Jan 23, 2013 by thanvigandhi_1

0 answers

Find the number of One-One functions from a finite set A to A, where n(A) = P

asked Jan 22, 2013 by meena.p

0 answers

If A is a square matrix of order 3 such that | adj A | = $ 8I_2$, find |A|.

asked Jan 22, 2013 by thanvigandhi_1

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sketch the graph of y=|x+3| and evaluate $\int_{-6}^0|x+3| dx.$

asked Jan 21, 2013 by sreemathi.v

1 answer

Solve the differential equation $(x^2-1)\Large \frac{dy}{dx}\normalsize +2xy=\Large \frac{1}{x^2-1}$

asked Jan 17, 2013 by sreemathi.v

1 answer

For what value of k, the matrix $ \begin{bmatrix} k & 2 \\ 3 & 4 \end{bmatrix} $ has no inverse?

asked Jan 17, 2013 by thanvigandhi_1

0 answers

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are the position vectors of $A$ and $B$,respectively,find the position vector of a point $C$ in $BA$ produced such that $BC=1.5BA$.

asked Jan 17, 2013 by sreemathi.v

1 answer

Show that elements on the main diagonal of a skew-symmetric matrix are all zero.

asked Jan 16, 2013 by thanvigandhi_1

1 answer

Find the area of the region bounded by the curve $y^2=4x,x^2=4y$.

asked Jan 16, 2013 by sreemathi.v

1 answer

If $A = \begin{bmatrix} 2 & 4 \\ 3 & 2 \end{bmatrix}$ and $ B = \begin{bmatrix} 1 & 3 \\ -2 & 5 \end{bmatrix}$, then find BA.

asked Jan 15, 2013 by thanvigandhi_1

1 answer

Evaluate the following$\displaystyle\int\frac{e^{6log x}-e^{5log x}}{e^{4log x}-e^{3log x}}$$dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

If $ y=3e^{2x}+2e^{3x}$, prove that : $\large \frac{d^2y}{dx^2}-$$5\large\frac{dy}{dx}$$+6y=0.$

asked Jan 11, 2013 by thanvigandhi_1

0 answers

Two men A and B start with velocities v at the same time from the junction of two roads inclined at $45^\circ$ to each other.If they travel by different roads,find the rate at which they are being separated.

asked Jan 10, 2013 by sreemathi.v

1 answer

Show that the matrix $A = \begin{bmatrix} 1 & -1 & 5 \\ -1 & 2 & 1 \\ 5 & 1 & 3 \end{bmatrix} $ is a symmetric matrix.

asked Jan 10, 2013 by thanvigandhi_1

1 answer

What are the number of all possible matrices of 3 x 3 with each entry 0 or 1.

asked Jan 10, 2013 by thanvigandhi_1

1 answer

If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements.

asked Jan 9, 2013 by thanvigandhi_1

1 answer

A bag contains 5 red marbles and 3 black marbles.Three marbles are drawn one by one with out replacement.What is the probability that at least one of the three marbles drawn be black,if the first marble is red?

asked Jan 8, 2013 by sreemathi.v

1 answer

If A is an invertible matrix of order 3 and |A|=5 then find [adj.A].

asked Jan 8, 2013 by thanvigandhi_1

1 answer

Minimise $Z=13x-15y$ subject to the constraints: $x+y\leq 7,2x-3y+6\geq 0,x\geq 0,y\geq 0$.

asked Jan 7, 2013 by sreemathi.v

1 answer

Find the transpose of each of the following matrices : $ (i)\begin{bmatrix} 5 \\ \frac{1}{2} \\ -2 \end{bmatrix} $.

asked Jan 6, 2013 by thanvigandhi_1

1 answer

Find the value of $ k$ if the function $ f(x) = \left\{ \begin{array}{l l} kx^2, & \quad { x \geq 1}\\ 4, & \quad \text{ $x$ < 1} \end{array}. \right.$ is continuous at $ x = 1 $.

asked Jan 4, 2013 by thanvigandhi_1

0 answers

If $y = x +\tan x$, prove that : $\cos^2x. \large\frac{d^2y}{dx^2}$$-2y+2x = 0. $

asked Jan 3, 2013 by thanvigandhi_1

0 answers

Find the angle between the lines $r=(3\hat i+2\hat j+6\hat k) +\lambda(2\hat i+\hat j+2\hat k) \;and\; r=(2\hat i-5\hat k)+\mu(6\hat i+3\hat j+2\hat k)$

asked Jan 3, 2013 by sreemathi.v

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 (i) The order of the matrix .

asked Jan 2, 2013 by thanvigandhi_1

1 answer

If matrix A = [ 1 2 3 ] Write AA' where A' is the transpose of matrix A.

asked Jan 2, 2013 by thanvigandhi_1

0 answers

Examine the continuity of f(x) at the indicated point $f(x)=\left \{\begin{array}{1 1}\large\frac{2x^2-3x-2}{x-2} &\normalsize if\;x\neq 2\\5 & if\;x=2\end{array}\right.$ at x=2.

asked Dec 31, 2012 by sreemathi.v

1 answer

For what value of $ k $ , the matrix $ \begin{bmatrix} 2-k & 3 \\ -5 & 1 \end{bmatrix} $ is not invertible?

asked Dec 29, 2012 by thanvigandhi_1

0 answers

For what value of a, $ \begin{bmatrix} 2a & -1 \\ -8 & 3 \end{bmatrix} $ is a singular matrix?

asked Dec 26, 2012 by thanvigandhi_1

0 answers

For what value of k , the matrix $ \begin{bmatrix} k & \quad 2 \\ 3 & \quad 4 \end{bmatrix} $ has no inverse.

asked Dec 25, 2012 by thanvigandhi_1

0 answers

Using the properties of determinants, evaluate $\begin{vmatrix} 3x & -x+y & -x+z \\ x-y & 3y & z-y \\ x-z & y-z & 3z \end{vmatrix}$

asked Dec 24, 2012 by sreemathi.v

1 answer

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