Recently Active Questions

\int_{-\infty}^{\infty}{\left|Axe^{-x^2/2} \right|^2}=1 ...

\hspace{-16}$\textbf{Solve System of Equations.}\\\\ $\begin{matrix} \bold{x^4+y^2-xy^3-\frac{9}{8}x=0} & \\\\ \bold{y^4+x^2-x^3y-\frac{9}{8}y=0} & \end{matrix}\right. ...

∫ee+ee+ee+xdx Where 'e' is the exponential function ...

sum the following to n terms and infinity... 1/4 + 1.3/4.6 + 1.3.5/4.6.8 ...... please dont use binomial.....this is a pure progressions sum.... ...

1∫2|x2|dx ...

evaluate ∫ x4/1+x4 dx ...

I am having arihant algebra and TMH algebra books.. do i have to complete both books to get a good rank? Or if any one is enough ? which one is better?(and not too much time consuming !?) ...

\hspace{-16}$\textbf{For what real value of $\mathbf{k}$ for which the equation}\\\\ $\mathbf{x^3-2x^2-2010x+k=0}$ \textbf{has no Real solution.} ...

1.A point charge Q is located on the axis of a disc of radius R at a distance a from the plane of the disc.If 1/4th of the flux from the charge passes through the disc,then find the relation between a and R..... seems pretty ...

Given four points A_{1}, A_{2}, A_{3}, A_{4} in the plane, no three collinear, such that \ A_{1}A_{2}\cdot A_{3}A_{4}= A_{1}A_{3}\cdot A_{2}A_{4}= A_{1}A_{4}\cdot A_{2}A_{3} denote by O_i the circumcenter of \triangle A_{j}A_ ...

I saw that last date for enrollment is 15th September.. But How do I enroll my self in case my school is not registered with them? It say "You must register from your OWN School / College." Does it mean that they have sent an ...

find the focii,eccentricity and directrices of the conic 7x2+7y2+2xy+10x-10y+7=0.is there any sort cut method to the above question?? ...

what is the mass of oxygen that will react with 21 gm of Al? ...

In wolfram i read that 1 is a special case: It is neither prime nor composite. The fundamental theorem of arithmetic fails if we consider 1 to be a prime. But somewhere else i read that 1 is a prime. So, what's the truth? PS- ...

two arithmetic progressions are a1, a1, a1 ........ and b1, b2 , b3 ......... such that a1 + b1 = 100. also a22 - b21 = b99 - b100. find the sum of 100 terms of the progression (a1 + b1) , (a2 + b2) .......... ...

The minimum value of x2 + 2xy + 3y2 – 6x – 2y, where x, y are Real , is equal to (a) –9 (b) –11 (c) –12 (d) –10 ...

find the consecutive terms in the binomial expansion of (3+2x)^7 whose coefficients are equal.. ...

1) a shell of mass m is fired from a gun of mass km which can recoil freely on a horizontal plane , the elavation of the gun is 45° .prove that the ratio of energy of the shell to that of the gun is (2k2+2k+1)/k . [ im getti ...

Find the remainder when [(2 × 4 × 6 × 8 × 10 ×…× 200) – (1 × 3 × 5 × 7 × 9 ×…× 199)] is divided by 201. do not take more than 2 min..... ...

A horizontal straight wire 10 m long extending from east to west is falling with a speed of 5.0 m / s, at right angles to the horizontal component of the earth’s magnetic field, 0.30 × 10−4 Wb / m2. (a) What is the direc ...

if three identical particles are placed on the vertices of an equilateral triangle...will the grav field at the centroid of the triangle be zero??.....i guess the answer is a big NO...bt sumwhr i read that its zero....just wa ...

suppose *Image* now method 1, L=\lim_{x\rightarrow \propto } \frac{1-sinx/x}{1+sinx/x} since (sinx /x) →0 L=1 now method 2, using L Hospital rule ( for ∞/∞ form) , L=\lim_{x\rightarrow \propto } \frac{1-cosx}{1+cosx} L= ...

Find the wavelength of electron having energy 150 eV ...

This is a pdf about the experience at the IMO 2002. But, I have not written it. Its long but i hope some of you may like it. As I also liked it. go to the link http://www.scribd.com/doc/63719814 thank you. ...

1) Find all natural n's for which n4 + 2n3 + 2n2 + 2n + 1 is a perfect square. 2) If [a] is the grestest integer not exceeding a and a = 2 + √3 then the value of an + a-n + [an] for any positive integer n is 3) Find the num ...

$\textbf{If $\mathbf{a,b,c>0}$ and $\mathbf{a^{2009}+b^{2009}+c^{2009}=3}.$ Then Find Max. and\\\\ Min. value of $\mathbf{a^4+b^4+c^4}$} ...

* 1. Using the relation 2(1-\cos x)<x^2, x\neq 0 , or otherwise, prove that \sin(\tan x)\geq x, \text{ } \forall \text{ } x\in\left[0,\frac{\pi }{4} \right] . 2. Find the point on the curve 4x2+a2y2=4a2, 4<a2<8 that ...

A particle is suspended vertically from a point O by an inextensible massless string of length L. A vertical line AB is at a distance L/8 from O as shown in figure. The object is given a horizontal velocity u. At some point , ...

a) 50 ml of 0.1 M HCl + 50 ml of 0.01 M HCl b) 50 ml of 0.1 M HCl + 50 ml of 0.1 M H2SO4 c) 50 ml of 0.1 M HCl + 50 ml of 0.1 M CH3COOH (Ka=1.8x10-5) d) 50 ml of 0.1 M HCl + 20 ml of 0.1 M NaOH e) 50 ml of 0.1 M HCl + 50 ml o ...

If the length of the equal sides of an isoceles triangle is 2011, find the length of the third side such that its area is maximum. ...