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Conc H2SO4 is added to MOhr Salt to prevent hydrolysis but why do we use NH4+ ??? Otherwise just FeSO4 can be used for titraations why r we using Moher Salt. Wats so special about NH4+ in that salt?????? ...

\sum_{0\le i}\sum_{<j\le n} \left(\frac{i}{\binom {n}{i}} + \frac{j}{\binom {n}{j}} \right) = \frac{n^2}{2} \cdot \sum_{r=0}^{n}\frac{1}{\binom{n}{r}} ...

1 + 2w +3w2 +..... nwn-1 find the sum where,w = nth root of unity ...

1) no. of isomeric ethers with chiral carbon in molecular formula C5H12O4 2) *Image* which nitogen in thymine is more acidic . (with explanation) 3) Number of isomers of the formula C4H8O4 ...

Wen we r given to find the equation of a circle thru three given points, we go by the family approach..we tend to form the equation of the circle taking the first two points as the end point of the diameter nd den form a stra ...

is hc verma enough for iitjee. what is a good book for physical chem. for iitjee. ...

*Image* ...

\hspace{-16}\displaystyle\mathbf{\lim_{n\rightarrow \infty}\frac{1}{\bold{\sqrt[2011]{n^{2011}+1}}}+\frac{1}{\bold{\sqrt[2011]{n^{2011}+2}}}+.......+\frac{1}{\bold{\sqrt[2011]{n^{2011}+n}}}} ...

evaluate 0.2log 5 (1/4+1/8+........................∞) 5 is in the base ...

\hspace{-16}$(1)\;\; Find No. of $\mathbf{\mathbb{R}}$eal Roots of $\mathbf{e^{ax}=bx}$\\\\ Where $\mathbf{a,b>0}$\\\\\\ $(2)\;\; $No. of $\mathbf{\mathbb{R}}$eal Roots of the equation $\mathbf{3^x+4^x+5^x = x^2}$\\\\\\ $( ...

Find the smallest value for the function : f(x) = |x-2| + |x+3| + |x-4| ...

Points whose position vectors are a+b,a-b,a+kb are collinear for: (a) Only one integral value of k (b) All integral values of k (C) None of these ...

\hspace{-16}$If $\mathbf{A=\left\{\frac{2012}{2013}\right\}+\left\{2.\frac{2012}{2013}\right\}+............+\left\{2012.\frac{2012}{2013}\right\}}$\\\\\\\\ and $\mathbf{B=\left\{\frac{2014}{2013}\right\}+\left\{2.\frac{2014}{ ...

*Image* *Image* ...

1) Inside a semi-circle of unit radius, two circle of radii r1 and r2 are drawn, touching the diameter and the semicircle and also touching each other externally. Prove that the maximum value of ( r1+ r2 ) = 2(√2 -1) ...

On the <a href="http://www.targetiit.com/home.html)">TargetIIT home page</a>, one of the buttons along the top of the page is for "Bookmarks". I clicked it and am taken to a blank page. I assume this page is for m ...

http://cheentaganitkendra.blogspot.in/2012/02/indian-national-math-olympiad-2012.html ...

let S ≡ f(x,y) , |||x|-2|-1|| + |||y|-2|-1| = 1. If S is made out of a wire then the length of the wire required is? ...

\hspace{-16}\mathbf{(1)::\int\frac{1}{x+\sqrt{x^2+x+1}}dx}\\\\\\ \mathbf{(2)::\int\frac{x^{2001}}{(1+x^2)^{1002}}dx}\\\\\\ \mathbf{(3)::\int\frac{x^3-x}{x^6+4x^4+4x^2+1}dx} ...

Find the points where f(x) is not differentiable. f(x)=|x-1|3 +|x-2|5+|x-3| ...

Prove that the locus of the intersection of AP with the straight line through A' perpendicular to A'P is a straight line which is perpendicular to the major axis of an ellipse. ...

Equation of the common tangent to the parabolas : y^2 = 4ax; x^2 = 4ay ...

Compute: *Image* Where *Image* . ...

\mathbf{\lim_{n\rightarrow \infty}\left(2012.\bold{\sqrt[n]{2010}}-2011\right)^n} ...

\hspace{-16}(1)\;\;\int\frac{25^x}{15^x-9^x}dx\\\\ (2)\;\;\int\frac{1}{1+x^6}dx\\\\ (3)\;\;\int\frac{\sqrt{1-x^2}-x}{x^3-x^2-x+1-\sqrt{1-x^2}+x\sqrt{1-x^2}}dx ...

\hspace{-16}\mathbf{\int\frac{xdx}{\sqrt{1-x^2.(x+\sqrt{1-x^2})^8}}dx}$ ...

\hspace{-16}$Prove that $\mathbf{f(x)=\int_{0}^{\ln (x)}e^t.\sin (\pi.t^2)dt}$. Then prove that \\\\ $\mathbf{\frac{d^2}{dx^2}(f(x))}$ has at least $\mathbf{2}$ positive Real Roots. ...

\hspace{-16}$Find solution of diff. equation $\mathbf{\int_{0}^{\frac{dy}{dx}}\frac{\cos z}{16+9\sin^2 z}dz=\frac{1}{12}\tan^{-1}(x)}$ ans y = x.sin-1(4x/3)-1/4* 9-16x^2 +C ...

Find the limiting value of { (√2 + 1)n} x (-1)[(√2 + 1)n] where n →∞ {} →fractional part [.] →G.I.F. ...

IF a point moves such that twice its distance from axis of x exceeds its distance from axis of y by 2,then its locus is ...