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Recent questions tagged class12

Determine whether the given planes are parallel or perpendicular, and in case they are neither, then find the angle between them. $(b)\; 2x + y + 3z - 2 = 0 \: and\: x -2y + 5 = 0 $

asked May 22, 2013 by rvidyagovindarajan_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

Range of $f(x)=\large\frac{x-[x]}{1+x-[x]}$ where $[x]$ is greatest integer function.

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

Domain of $f(x)=\large\frac{1}{\sqrt {|x|-x}}$ = ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=\large\frac{x}{x+1},$ $g(x)=\large\frac{x}{1-x}$ and $h(x)=\sqrt [3] {x},$ then $(fogoh)^{-1}(8)= ?$

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $g(f(x))=|sinx|$ and $f(g(x))=(sin\sqrt x)^2$ then find $ f(x)\:\: and\:\: g(x)$

asked May 21, 2013 by rvidyagovindarajan_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

The curve $y^{2}(x-2)=x^{2}(1+x)$ has

asked May 21, 2013 by poojasapani_1

1 answer

Identify the true statements in the following:

asked May 20, 2013 by poojasapani_1

1 answer

If $x=r\cos\theta,y=r\sin\theta,$ then $\large\frac{\partial r}{\partial x}$ is equal to

asked May 20, 2013 by poojasapani_1

1 answer

If $u=\large\frac{1}{\sqrt{x^{2}+y^{2}}},$ then $x\large\frac{\partial u}{\partial x}$$+y\large\frac{\partial u}{\partial y}$ is equal to

asked May 20, 2013 by poojasapani_1

1 answer

If $u=\sin^{-1}\begin{pmatrix}\large\frac{x^{4}+y^{4}}{x^{2}+y^{2}}\end{pmatrix}$ and $f=\sin u$ then $f$ is a homogeneous function of degree

asked May 20, 2013 by poojasapani_1

1 answer

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

asked May 20, 2013 by poojasapani_1

1 answer

The curve $y=ax^{3}+bx^{2}+cx+d$ has a point of inflexion at $x=1$ then

asked May 20, 2013 by poojasapani_1

1 answer

The point of inflexion of the curve $y=x^{4} $ is at

asked May 20, 2013 by poojasapani_1

1 answer

In triangle ABC (Fig 10.18),which of the following is not true :

asked May 20, 2013 by sreemathi.v

1 answer

Which of the following curves is concave down ?

asked May 20, 2013 by poojasapani_1

1 answer

The curve $y=e^{-x} $ is

asked May 20, 2013 by poojasapani_1

1 answer

Find the position vector of a point $R$ which divides the line joining two points $P$ and $Q$ whose position vectors are $ \hat i + 2\hat j − \hat k$ and $– \hat i + \hat j + \hat k$ respectively, in the ratio $2 : 1$ externally

asked May 20, 2013 by sreemathi.v

1 answer

If $log_2(log_3(log_4(log_5x)))=0$ then x= ?

asked May 18, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=\cos \log x$ then $f(x).f(y)-\large\frac{1}{2}$$\bigg(f(\large\frac{x}{y}$)$+f(xy)\bigg)= ?$

asked May 18, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=x^{2}-4x+5$ on $[0 ,3 ]$ then the absolute maximum value is

asked May 18, 2013 by poojasapani_1

1 answer

The least possible perimeter of a rectangle of area $100m^{2}$ is

asked May 18, 2013 by poojasapani_1

1 answer

In a semi circle of diameter $4$cm a rectangle is to be inscribed . The maximum area of the rectangle is

asked May 18, 2013 by poojasapani_1

1 answer

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