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Happy Bengali New Year to all my Bengali Friends - Shuvo Noboborsho [1] *Image* ...
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This is the code of Targetiit Homepage.... [45] <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd"> <html> <head> <title>IIT JEE 2010 Preparation, Engineering Ent ...
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Given two straight lines. Can you show a bijective mapping of one onto the other? ...
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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 ...
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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 ...
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A triangle has all its sides as integers marked l,m,n with l>m>n. Also given that \left\{\frac{3^l}{10^4} \right\}=\left\{\frac{3^m}{10^4} \right\}=\left\{\frac{3^n}{10^4} \right\} Find the minimum perimeter of the tria ...
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My cousin, who currently is in 12th std. wanted to know the following: 1) Syllabus for the entrance exam of BHU for B.Sc. Hons. in Mathematics (Is physics and chemistry included in the entrance exam?) 2) Last date of receivin ...
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Try this, it's really appealing.... a,b,c>0 Prove the following inequality: ab(a+b)+bc(b+c)+ca(c+a)\ge \sum_{cyc}ab\sqrt{\frac{a}{b}\left(b+c \right)\left(c+a \right)} ...
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I think some solutions are already out like Resonance, Career Point, Truimphacademy etc. Fiitjee to bring out theirs by midn8. Also official JEE solutions to be available in IIT website within a couple of days. Post ur JEE ma ...
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A circle is given by the following eqn x^2+y^2=a^2 . Also given a is any real no. Which of the following options may represent the total number of integral points inside the circle? a) 11008 b) 11009 c) 11010 d) 11011 ...
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Given a function, f differentiable on (0,∞) & the limit as x→∞ of (f(x)+f'(x))=0. Find the limit of f(x) as x→∞. ...
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Anyone having the download link for the e-book "C and C++ Datastructures by Tanenbaum".........pls post it. I'm in dire need of it. Thanks in advance. ...
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This qsn cud have been in the MO section, but it's way easier than an Olympiad problem, as such. Define a function f over the set of naturals as f(n)=n! Now let a positive real a have the decimal representation as a=0.f(1)f(2 ...
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Does there exist a power of 2, such that its digits (in decimal representation) can be permuted to form a different power of 2? ...
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A curious phenomenon was observed by an experimenter working with a very sensitive galvanometer while sitting on a chair at a table. The galvanometer was secured on a wall and its ends of its winding were connected to an open ...
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1 problem from FMO. Given that \sqrt{n}+\sqrt{n+2005} is an integer. Find all integers n for which it is true. ...
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I'm working in firefox, and latex is not working here. Can somebody provide me with a link from where I can download free full version eqn editor for Word ? Sincere thanks in advance. [1] ...
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1) Prove that an infinite number of AP's exist, such that each of the terms is a perfect square. 2) How many ways are there to place the 1st 64 nos. on the 64 squares of a std. chessboard, such that the terms in each col. and ...
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By now, it's over - the heat has gone away! All my batchmates have now decided to join the colleges/branch of their choice in reputed institutes.... Post here where u are going, and branch. My college - ISI (B-STAT). Best of ...
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Brown, Johns and Landau are charged with bank robbery. The thieves escaped in a car that was waiting for them. At the inquest Brown stated that the criminals had escaped in a blue Buic, Johns stated that it had been a black C ...
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1) Let S=1+\frac{1}{2}+\frac{1}{3}+...\frac{1}{2^n-1} . S lies between a) 0 & n/2 b) n/2 & n c) n and 2n d) none. 2) IIT-1996. Let f(x) be evn. Given f(x) satisfies f(x)=f\left(\frac{x+1}{x+2} \right) find all possible values ...
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3a=(b+c+d)^3 3b=(e+c+d)^3 3c=(e+a+d)^3 3d=(e+a+b)^3 3e=(c+a+b)^3 . find all reals (a,b,c,d,e). Source - INMO. ...
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What type of qsns are expected in ISI interview for B-STAT? Thanx in advance. ...
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Not a dbt. In triangle ABC, BC is of unit length. Given sin\frac{A}{2}=x_1 , sin\frac{B}{2}=x_2 , cos \frac{B}{2}=x_4 & cos \frac{A}{2}=x_3 . Also Given that \left(\frac{x_1}{x_2} \right)^{2007}=\left(\frac{x_3}{x_4} \right)^ ...
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Let N=\left\{1,2,3...n \right\} be a set of elements called voters. Given that S \amalg N means S is a subset of the set N. Let \C=\left\{S:S\amalg N \right\} be the set of all subsets of N. Members of C are called coalitions ...
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dbt How many non-similar trinagles can be constructed whose vertices are vertices of a 1) 21-sided regular polygon? 2) regular n-gon ? PS - I don't know if this is the r8 forum for this, coz it may not be a JEE problem as suc ...
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In how many ways can n identical balls be distributed to nine persons A,B,C,D,E, F,G,H, I so that the number of balls recieved by A is the same as the total number of balls recieved by B,C,D,E together? As of yet, I haven't b ...
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Not a dbt. Let I_1=\int_{0}^{\frac{\pi}{2}}{\frac{sin\alpha cos\alpha}{(\alpha+1)}d\alpha} I_2=\int_{0}^{\pi}}{ \frac{cos\alpha}{(\alpha+2)^2}d\alpha} . Find the value of \frac{2I_1+I_2}{2} . ...
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\math{\frac{1}{sin45sin46}+\frac{1}{sin47sin48}+...\frac{1}{sin133sin134}}}=\frac{1}{sinN} . find minimum natural N. ...
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Not dbts, but action here has slowed up a bit, so trying to bring them up.... 1) Reals x,y satisfy x^2+y^2+xy=1 . Find the minimum value of x^3y+xy^3 . 2) This is a bit common sum. (3+x^{2008}+x^{2009})^{2010} =\sum_{i=0}^{i= ...
