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why dimethyl ether does not react with sodium???? ...

\dpi{120} \hspace{-16}(1)::\; $Find acute Angle b/w 2 -Curves $\mathbf{C_{1}:x^2+y^2=8}$ and $\mathbf{C_{2}:x^2+y^2=4x}$.\\\\ (2)::\;Find Least distance b/w the curves $\mathbf{xy=9}$ and $\mathbf{x^2+y^2=1}$. ...

Find \lim_{n\rightarrow \infty}\int_{0}^{1}{}x^{2}e^{-(\frac{x^2}{n^2})}dx ...

\hspace{-16}(1)::\;$Solve for $\mathbf{x\in\mathbb{R}$ in $\mathbf{\mid x^3-1\mid +\mid 2-x^3\mid = 1}} ...

how to find shortest distance between 2 parabolas, 2y2 = 2x-1 and 2x2=2y-1 .. i kind of know how to do this but having some problem in solving it.. can some1 pls solve it completely for me.. my approach: we have to find 2 lin ...

\large \dpi{120} \mathbf{\lim_{n\rightarrow \infty} \frac{\binom{n}{2}}{\binom{7n}{8}}.n^6=} ...

\dpi{120} \hspace{-16}(1)::\; \mathbf{\lim_{n\rightarrow \infty}\frac{\sqrt{n}-\sqrt{n-1}+\sqrt{n-2}-...........+(-1)^n.\sqrt{1}}{\sqrt{n}}} ...

\hspace{-16}(1)::\mathbf{\int e^{\sin x}\left(\frac{x.\cos^3 x-\sin x}{\cos^2 x}\right)dx}\\\\\\ (2)::\mathbf{\int\frac{\sin x.\cos x}{\sin x+\cos x}dx}$ ...

*Image* In the given figure, a chord AB of a circle of 10cm radius subtends a rt. angle at the centre O.Find the area of the sector OABC & of the major segment.(pie=3.14) ...

\large \dpi{100} $\mathbf{Solve for $x\in \mathbb{R}$ in x = 6\left[\sqrt{x}\;\right]+1}$\\\\ $Where $[\;.\;]=$ Greatest Integer function. ...

1) If c be a positive constant and | f(y) - f(x)| ≤ c(y-x)2, then for all real x and y,then a)f(x)=0 for all x b)f(x)=x for all x c)f '(x)=0 for all x d)f '(x)=c for all x 2) If P(x) = x(x+1)(x+2)........(x+2004),then for p ...

Why is it that during recent times I'm unable to view practically any latexed output? Occasionally one or two may show up after 5 to 7 minutes. Also the entire targetiit page is shifted to the right and it looks really horrib ...

This is a good prob from my Xth mathematika... and so i thought of sharing it with u all... *Image* ABCD is a square with each sides equal to 10 cm and in which ABC and BCD are the quadrants where arcs BD and AC intersect at ...

\hspace{-16}(1)\;\;\int\frac{\sin x+\cos x}{\sin^2 x+\cos ^4 x}dx\\\\\\ (2)\;\; \int\frac{\cos x+x.\sin x}{x^2+\cos^2 x}dx asked in goiit ...

the largest value of a for which the circle x2+y2 = a2 lies completely inside the parabola y2 = 4(x+4) ...

are theorums like mean value theorum , rolle's theorum and the other inequalities other tham A.M G.M required to solve the problems of iit jee..im goin to write jee 2012 ...

neo-pentyl bromide undergo nucleophilic substitution reaction very slowly...plz explain... ...

plz help me to convert aniline to ido benzene.. ...

*Image* Two identical ladders ,each of mass M and length L are resting on the rough horizontal surface as shown in figure. A block of mass m hangs from P . If the system is in equilibrium , find the magnitude and direction of ...

when an electron jumps from a higher orbital to a lower orbital it radiate energy in the form of photons or waves but what is the reason that it doesnt this energy is given out in the form of heat there must be a reason ...

Prove this : \lim _{n\rightarrow \infty } \frac{|\sin \theta|+|\sin 2\theta|+...|\sin n\theta|}{n}>0 I must admit that I've its soln. and I'd not have been able to solve it by myself otherwise. But I liked the sum, so flic ...

If 6n tickets numbered 0,1,2,...,6n-1 are placed in a bag, and three are drawn out , show that the chance that the sum of the numbers on them is equal to 6n is \frac{3n}{(6n-1)(6n-2)} Looking for simpler and better ways ...

The potential energy of a 1 kg particle free to move along X-axis is given by U(x)=( x4/4 - x2/2 ) J.The total mechanical energy of the particle is 2 J. Then the maximum speed (in m/s) is p/√q . Find out p + q. I got 2 answ ...

Let a , b , c possitive real numbers : Show that : a/(b+c)2 + b/(c+a)2 + c/(a+b)2 ≤ 9/4(a+b+c) ...

find the number of non-similar isosceles triangles such that tanA + tanB + tanC = 300. answer is an integer ...

A lighthouse, facing north, sends out a fan-shaped beam of light extending fron north-east to north-west. An observer on a steamer, sailing due west, first sees the light when he is 5 km awayfrom the lighthouse, and continues ...

given, x + xy + y = 2 + 3√2 and, x2 + y2 = 6 Then find the value of |x + y + 1| options are : 1) 1 + √3 2) 2 - √3 3) 2 + √3 4) 3 - √2 5) 3 + √2 This is a good question no doubt...!! ...

(1) The work function of a certain metal is 3.31×10–19 J. Then the maximum kinetic energy of photo electrons emitted by incident photons of wave length 5000 Ǻ is (given h = 6.62×10–34 Js, c = 3×108 ms–1, e = 1.6×10 ...

*Image* which theorems we hav to use here? ...

Prove that for all real numbers x,y , |cos(x)|+ |cos(y)| + |cos(x+y)|\geq 1 ...