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Recent questions tagged modelpaper

If $ f(x) = \left\{ \begin{array}{l l} kx^{2}, & \quad \text{$0<x<3$}\\ 0, & \quad \text{elsewhere} \end{array} \right. $ is a probability density function then the value of $k$ is

asked May 28, 2013 by poojasapani_1

0 answers

In the set of integers under the operation $^\ast $ defined by $a^{\ast}b=a+b-1$ the identity element is

asked May 27, 2013 by poojasapani_1

1 answer

In the multiplicative group of $n{ th } $ roots of unity, the inverse of $\omega^{k}$ is $(k<n)$

asked May 27, 2013 by poojasapani_1

1 answer

Which of the following is correct?

asked May 27, 2013 by poojasapani_1

1 answer

The value of $[3]+11([5]+11[6])$ is

asked May 27, 2013 by poojasapani_1

1 answer

In the multiplicative group of cube root of unity, the order of $w^{2}$ is

asked May 24, 2013 by poojasapani_1

1 answer

The order of $[7]$ in $(Z_{9},+_{9})$ is

asked May 24, 2013 by poojasapani_1

1 answer

In the set of integers with operation $^{\ast}$ defined by $a ^{\ast} b=a+b-ab,$ the value of $3^{\ast}(4^{\ast} 5)$ is

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is not a group?

asked May 24, 2013 by poojasapani_1

1 answer

A monoid becomes a group if it also satisfies the

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is not a binary operation on $R$

asked May 24, 2013 by poojasapani_1

1 answer

$p\leftrightarrow q$ is equivalent to

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is a contradiction ?

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is a tautology?

asked May 24, 2013 by poojasapani_1

1 answer

The conditional statement $ p\to q$ is equivalent to

asked May 24, 2013 by poojasapani_1

1 answer

The number of rows in the truth table of $\sim[p\land(\sim q)]$ is

asked May 24, 2013 by poojasapani_1

1 answer

If $\;p\;$ is $T$ and $\;q$ is $F$, then which of the following have the truth value$T$? \[\begin{array}{1 1}(1)p \vee q&(2)\sim p\vee q\\(3)p \vee \sim q&(4)p \wedge\sim q\end{array}\]

asked May 24, 2013 by poojasapani_1

1 answer

If a compound statement is made up of three simple statements, then the number of rows in the truth table is

asked May 24, 2013 by poojasapani_1

1 answer

The particular integral of the differential equation $f(D)y=e^{ax}$ where $\;.f(D)=(D-a)g(D).g(a)\neq 0$ is

asked May 24, 2013 by poojasapani_1

1 answer

The P.L of $(3D^{2}+D-14)y=13e^{2x}$ is

asked May 24, 2013 by poojasapani_1

1 answer

The integrating factor of the differential equation $\large\frac{dy}{dx}$$-y\tan x=\cos x $ is

asked May 24, 2013 by poojasapani_1

1 answer

On putting $y=vx,$ the homogeneous differential equation $x^{2}dy+y(x+y)dx=0$ becomes

asked May 24, 2013 by poojasapani_1

1 answer

If $f '(x)=\sqrt{x}$ and $f(1)=2$ then $f(x)$ is

asked May 24, 2013 by poojasapani_1

1 answer

If $\large\frac{dy}{dx}=\frac{x-y}{x+y}$ then

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation formed by eliminating $A$ and $B$ from the relation $y=e^{x}(A\cos x+ B\sin x) $ is

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation obtained by eliminating $a$ and $b$ from $y=ae^{3x}+be^{-3x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

If $y=ke^{\lambda x}$ then its differential equation is

asked May 23, 2013 by poojasapani_1

1 answer

The amount present in a radio active element disintegrates at a rate proportional to its amount .The differential equation corresponding to the above statement is ($k$ is negative)

asked May 23, 2013 by poojasapani_1

1 answer

The degree of the differential equation $\Large\sqrt{1+\left(\frac{dy}{dx}\right)^{1/3}}=\frac{d^{2}y}{dx^{2}}$

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation of the family of lines $y=mx$ is

asked May 23, 2013 by poojasapani_1

1 answer

A particular integral of $(D^{2}-4D+4)y=e^{2x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

The complementary function of $(D^{2}+1)y=e^{2x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

The integrating factor of the differential equation $\large\frac{dy}{dx}$$+py=Q$ is

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation of all circles with centre at the origin is

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation $\large\left(\frac{dx}{dy}\right)^{2}$$+5y^{1/3}=x$ is

asked May 22, 2013 by poojasapani_1

1 answer

$y=cx-c^{2}$ is the general solution of the differential equation

asked May 22, 2013 by poojasapani_1

1 answer

Solution of $\large\frac{dx}{dy}$$+mx=0,$where $m<0$ is

asked May 22, 2013 by poojasapani_1

1 answer

Integrating factor of $\large\frac{dy}{dx}+\frac{1}{x\log x}$$.y=\large\frac{2}{x^{2}}$ is

asked May 22, 2013 by poojasapani_1

1 answer

If $ \cos x $ is an integrating factor of the differential equation $\large\frac{dy}{dx}$$+Py=Q$ then $P$=

asked May 22, 2013 by poojasapani_1

1 answer

The integrating factor of $\large\frac{dy}{dx}$$+2\large \frac{y}{x}$$=e^{4x}$ is

asked May 22, 2013 by poojasapani_1

1 answer

The curved surface area of a sphere of radius $5,$ intercepted between two parallel planes of distance $2$ and $4$ from the centre is

asked May 22, 2013 by poojasapani_1

1 answer

The surface area of the solid of revolution of the region bounded by $y=2x,x=0$ and $x=2$ about $x$-axis is

asked May 22, 2013 by poojasapani_1

1 answer

The length of the are of the curve $x^{2/3}+y^{2/3}=4$ is

asked May 22, 2013 by poojasapani_1

1 answer

The volume generated by rotating the triangle with vertices at $(0,0),(3,0)$ and $(3,3) $ about $x$-axis is

asked May 22, 2013 by poojasapani_1

1 answer

Volume of solid obtained by revolving the area of the ellipse $\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$=$1$ about major and minor axes are in the ratio

asked May 22, 2013 by poojasapani_1

1 answer

The volume generated when the region bounded by $ y=x,y=1,x=0$ is rotated about $y$-axis is

asked May 22, 2013 by poojasapani_1

1 answer

The volume, When the curve $y=\sqrt{3+x^{2}}$ from $x=0$ to $x=4$ is rotated about $x$-axis is

asked May 22, 2013 by poojasapani_1

1 answer

The volume of the solid obtained by revolving $\large\frac{x^{2}}{9}+\frac{y^{2}}{16}$$=1$ about the minor axis is

asked May 22, 2013 by poojasapani_1

1 answer

The area bounded by the parabola $y^{2}=x $ and its latus rectum is

asked May 22, 2013 by poojasapani_1

1 answer

The area between the ellipse $\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$=$1$ and its auxillary circle is

asked May 22, 2013 by poojasapani_1

1 answer

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