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Questions >> TN XII Math >> Objective type Questions and Answers

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 degree of the differential equation $\;\Large c=\frac{\left[1+\left(\frac{dy}{dx}\right)^{3}\right]^{2/3}}{\frac{d^{3}y}{dx^{3}}}$ where $c$ is a constant

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation satisfied by all the straight lines in $xy$ plane 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 of all non-vertical lines in a plane 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

The integrating factor of $dx+xdy=e^{-y}\sec^{2}y dy$ 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

The area of the region bounded by the graph of $y=\sin x$ and $y=\cos x$ between $x=0$ and $x=\large\frac{\pi}{4}$ is

asked May 22, 2013 by poojasapani_1

1 answer

The area bounded by the line $y=x,$ the $x$ -axis,the ordinates $x=1,x=2$ is

asked May 22, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi}\sin^{2}x\cos^{3}x dx$ is

asked May 22, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi/4}\cos^{3}2x dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi}\sin^{4}x dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{-\pi/2}^{\pi/2}\large\left(\frac{\sin x}{2+\cos x}\right)$ $dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{1}x(1-x)^{4}dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi/2}\large\frac{\sin x-\cos x}{1+\sin x \cos x}$ $dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi/2}\large\frac{\cos^{5/3}x}{\cos^{5/3}x+\sin^{5/3}x}$ $dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The curve $ay^{2}=x^{2}(3a-x)$ cuts the $y$ -axis at

asked May 21, 2013 by poojasapani_1

1 answer

The curve $9y^{2}=x^{2}(4-x^{2})$ is symmetrical about

asked May 21, 2013 by poojasapani_1

1 answer

If $u=f\large\left(\frac {y}{x} \right)$ then $x\large\frac{\partial u}{\partial x}$ + $y\large\frac{\partial u}{\partial y}$ is equal to

asked May 21, 2013 by poojasapani_1

1 answer

If $u=y\sin x,$ then $\large\frac{\partial^{2} u}{\partial x\partial y}$ is equal to

asked May 21, 2013 by poojasapani_1

1 answer

In which region the curve $y^{2}(a+x)=x^{2}(3a-x)$ does not lie?

asked May 21, 2013 by poojasapani_1

1 answer

An asymptote to the curve $y^{2}(a+2x)=x^{2}(3a-x)$ is

asked May 21, 2013 by poojasapani_1

1 answer

The curve $a^{2}y^{2}=x^{2}(a^{2}-x^{2})$ has

asked May 21, 2013 by poojasapani_1

1 answer

The percentage error in the $11^{th}$ root of the number is approximately ______ times the percentage error in $28$ .

asked May 21, 2013 by poojasapani_1

1 answer

If $u=\log\begin{pmatrix}\large\frac{x^{2}+y^{2}}{xy}\end{pmatrix}$ then $x\large\frac{\partial u}{\partial x}+$ $y\large\frac{\partial u}{\partial y}$ is

asked May 21, 2013 by poojasapani_1

1 answer

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