Recent questions tagged q2-1

Write the converse and contra positive of the statement "A positive integer is prime only if it has no divisors other than 1 and itself."

asked Aug 14, 2014 by rvidyagovindarajan_1

1 answer

Write the contrapositive and converse of the statement: "If $x$ is prime then $x$ is odd."

asked Jul 21, 2014 by rvidyagovindarajan_1

1 answer

Are the pair of statements "The number $x$ is not a rational number." and "The number $x$ is not an irrational number." negation of each other?

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (i) $xyz=a^3+b^3$ where $\omega$ is the complex cube root of unity.

asked Jun 12, 2013 by sreemathi.v

1 answer

Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=x^{2}-2x+2 , [0 , 3 ]$

asked May 5, 2013 by poojasapani_1

1 answer

Find the area of the region bounded by the lines $x-2y-12=0 $ and $y$-axis,$y=2$ and $y=5$

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate: $\int\limits_{0}^{\large\frac{\pi}{2}}\sin^{6}x dx$

asked Apr 27, 2013 by poojasapani_1

1 answer

If $u=\sqrt{x^{2}+y^{2}},$ Show that $ x\large\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=u$

asked Apr 25, 2013 by poojasapani_1

1 answer

Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\] $y$$=1-x^{2},x$$=5,dx$$=\large\frac{1}{2}$

asked Apr 24, 2013 by poojasapani_1

1 answer

If $Z$ is a standard normal variate. Find the value of $c$ for the following $ P(0< Z < c)=0.25$

asked Apr 22, 2013 by poojasapani_1

1 answer

If the probability of a defective fuse from a manufactuning unit is $2\%$ in a box of $200$ fuses find the probability that exactly $4$ fuses are defective

asked Apr 21, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y^{2}=4ax [a]$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal at $(3 , 4 )$ to the rectangular hyperbola $xy=12$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if the asymptotes are $2x+3y-8=0$ and $3x-2y+1=0$ and $ (5 , 3 ) $ is a point on the hyperbola.

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the parabola $y^{2}=8x $ at $t=\large\frac{1}{2}$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation and the length of the transverse and conjugate axis of the following hyperbola :$144x^{2}-25y^{2}=3600$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $y^{2}=-8x$

asked Apr 9, 2013 by poojasapani_1

1 answer

Can a vector have direction angles $30^{\circ},45^{\circ},60^{\circ}$?

asked Apr 6, 2013 by poojasapani_1

1 answer

Find the real and imaginary parts of the following complex numbers: $\large\frac{1}{1+i}$

asked Apr 1, 2013 by geethradh

1 answer

For each operation $\ast$ defined below, determine whether $\ast$ is binary, commutative or associative: On $Z$, define $a \ast b = a-b$

asked Mar 19, 2013 by balaji.thirumalai

1 answer

Check the injectivity and surjectivity of the following functions: (i) $f : N\to N\; given\; by\; f(x)\; = x^2 $

asked Mar 14, 2013 by meena.p

1 answer

Compute the following $(i)\;\begin{bmatrix}a & b\\-b & a\end{bmatrix}+\begin{bmatrix}a & b\\b & a\end{bmatrix}$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 24 elements,what are the possible orders it can have? (Note: This question has been split into 2 questions)

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 12 elements, what are the possible order it can have?

asked Feb 2, 2013 by thanvigandhi_1

1 answer

What is the order of the matrix $A=\begin{bmatrix} a & 1 & x \\ 2 & \sqrt 3 & x^2 y \\ 0 & 5 & \frac{2}{5} \end{bmatrix}$

asked Dec 21, 2012 by sreemathi.v

1 answer

Classify the following measures as scalars and vectors. $(i)\;10\: kg$

asked Dec 7, 2012 by thanvigandhi_1

1 answer

verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Nov 29, 2012 by sreemathi.v

1 answer

Write Minors and Cofactors of the elements of following determinants: $ (i) \quad \begin{vmatrix} 1&0&0 \\ 0&1&0 \\ 0&0&1 \end{vmatrix} $

asked Nov 29, 2012 by balaji.thirumalai

1 answer

Evaluate the determinant: $\begin{vmatrix} cos\theta &-sin\theta \\ sin\theta & cos\theta \end{vmatrix}$

asked Nov 28, 2012 by balaji.thirumalai

1 answer

Find the maximum and minimum values, if any, of the following functions given by $ f (x) = |x + 2| - 1$

asked Nov 26, 2012 by thanvigandhi_1

1 answer

if $ A = \begin{bmatrix} -1 & 2 & 3 \\ 5 & 7 & 9 \\ -2 & 1 & 1 \end{bmatrix} \text{ and } B = \begin{bmatrix} -4 & 1 & -5 \\ 1 & 2 & 0 \\ 1 & 3 & 1 \end{bmatrix} \text{, then verify that } $ $$ \text{ (i) } (A+B)' = A' + B' $$

asked Nov 25, 2012 by pady_1

1 answer

Let $f,\, g\, and\, h$ be functions from $R\, to\, R.$ Show that \[ (f+g) oh = foh + goh\]

asked Nov 9, 2012 by vaishali.a

1 answer

Check the injectivity and surjectivity of the function: $f : N\to N\; given\; by\; f(x)\; = x^2 $

asked Nov 8, 2012 by vaishali.a

1 answer

Ask Questions, Get Answers

Write the converse and contra positive of the statement "A positive integer is prime only if it has no divisors other than 1 and itself."

Write the contrapositive and converse of the statement: "If $x$ is prime then $x$ is odd."

Are the pair of statements "The number $x$ is not a rational number." and "The number $x$ is not an irrational number." negation of each other?

If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (i) $xyz=a^3+b^3$ where $\omega$ is the complex cube root of unity.

Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=x^{2}-2x+2 , [0 , 3 ]$

Find the area of the region bounded by the lines $x-2y-12=0 $ and $y$-axis,$y=2$ and $y=5$

Evaluate: $\int\limits_{0}^{\large\frac{\pi}{2}}\sin^{6}x dx$

If $u=\sqrt{x^{2}+y^{2}},$ Show that $ x\large\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=u$

Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\] $y$$=1-x^{2},x$$=5,dx$$=\large\frac{1}{2}$

If $Z$ is a standard normal variate. Find the value of $c$ for the following $ P(0< Z < c)=0.25$

If the probability of a defective fuse from a manufactuning unit is $2\%$ in a box of $200$ fuses find the probability that exactly $4$ fuses are defective

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y^{2}=4ax [a]$

Find the equation of the tangent and normal at $(3 , 4 )$ to the rectangular hyperbola $xy=12$

Find the equation of the hyperbola if the asymptotes are $2x+3y-8=0$ and $3x-2y+1=0$ and $ (5 , 3 ) $ is a point on the hyperbola.

Find the equation of the tangent and normal to the parabola $y^{2}=8x $ at $t=\large\frac{1}{2}$

Find the equation and the length of the transverse and conjugate axis of the following hyperbola :$144x^{2}-25y^{2}=3600$

Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $y^{2}=-8x$

Can a vector have direction angles $30^{\circ},45^{\circ},60^{\circ}$?

Find the real and imaginary parts of the following complex numbers: $\large\frac{1}{1+i}$

For each operation $\ast$ defined below, determine whether $\ast$ is binary, commutative or associative: On $Z$, define $a \ast b = a-b$

Check the injectivity and surjectivity of the following functions: (i) \(f : N\to N\; given\; by\; f(x)\; = x^2 \)

Compute the following $(i)\;\begin{bmatrix}a & b\\-b & a\end{bmatrix}+\begin{bmatrix}a & b\\b & a\end{bmatrix}$

If a matrix has 24 elements,what are the possible orders it can have? (Note: This question has been split into 2 questions)

If a matrix has 12 elements, what are the possible order it can have?

What is the order of the matrix $A=\begin{bmatrix} a & 1 & x \\ 2 & \sqrt 3 & x^2 y \\ 0 & 5 & \frac{2}{5} \end{bmatrix}$

Classify the following measures as scalars and vectors. $(i)\;10\: kg$

verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

Write Minors and Cofactors of the elements of following determinants: $ (i) \quad \begin{vmatrix} 1&0&0 \\ 0&1&0 \\ 0&0&1 \end{vmatrix} $

Evaluate the determinant: $\begin{vmatrix} cos\theta &-sin\theta \\ sin\theta & cos\theta \end{vmatrix}$

Find the maximum and minimum values, if any, of the following functions given by $ f (x) = |x + 2| - 1$

if $ A = \begin{bmatrix} -1 & 2 & 3 \\ 5 & 7 & 9 \\ -2 & 1 & 1 \end{bmatrix} \text{ and } B = \begin{bmatrix} -4 & 1 & -5 \\ 1 & 2 & 0 \\ 1 & 3 & 1 \end{bmatrix} \text{, then verify that } $ $$ \text{ (i) } (A+B)' = A' + B' $$

Let \(f,\, g\, and\, h\) be functions from \(R\, to\, R.\) Show that \[ (f+g) oh = foh + goh\]

Check the injectivity and surjectivity of the function: $f : N\to N\; given\; by\; f(x)\; = x^2 $