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This is a confusion... \lim_{x\rightarrow 0}\left[\frac{5sinx}{x} \right] = ? \left[. \right] \; is \; gif my vote is 5 . opponent is 4 . what's your vote ? (also explain) ...
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$\textbf{Determine all function $\mathbf{f:\mathbb{R}\rightarrow\mathbb{R}}$ such that\\\\ $\mathbf{f(x+y)f(x-y)=\left(f(x)+f(y)\right)^2-4x^2f(y)}$,each x,y\in \mathbb{R}$}\\ I have got a quadratic expression. ...
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Limitm→∞ Limitn→∞ (1+cos2m(n!πx)) where n! denotes factorial of n.. Answer=2 if x is rational and 1 if x is irrational.. ...
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Combinatorics marathon Inspired from artofproblemsolving we are gonna start a combithread maybe some questions will go above iitjee but i would like everyone to participate Rules 1) u need to post solution to the question uns ...
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the problems goes like that.. Teacher: Find number of non-negative integer solutions to the equation x1+ x2 + x3 + ....+ x100 = 10 Student: It's just the co - efficient of x10 in the (1 + x + x3+...)100 = (1-x)-100 Teacher: G ...
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Ok. This one's not related to JEE, or the olympiads or any kind of an exam. Its a question set by an american psychiatrist to test if the taker has a criminal mind. Note that this question has infinite solutions, but what mat ...
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Ok. This one's not related to JEE, or the olympiads or any kind of an exam. Its a question set by an american psychiatrist to test if the taker has a criminal mind. Note that this question has infinite solutions, but what mat ...
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please suggest me which option is better in terms of every aspect like placement,brand name etc. → 4 yr B.Tech course in mathematics and computing at IIT Guwahati OR → 4 yr B.S course in mathematics and scientific computi ...
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A body starts sliding (from rest) without friction down a hill of height h. In the beginning the body has potential energy and no kinetic energy; at the end the body has only kinetic energy. It follows from energy conservatio ...
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Prove that for any " x , y > 0 " , x x + y y ≥ x y + y x ...
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Q. The plates of a capacitor are 2 cm apart. An electron-proton pair is released somwhere in the gap between the plates and it is found that the proton reaches the negative plate at the same time as the electron reaches the p ...
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Hey can anyone please tell me in detail abt the career prospects of engineering physics? Is research the only option? ...
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I n how many ways is it possible to arrange 2n persons of different height in two ranks of n persons each so that in each rank they stand according to height and, besides, so that each man in the first rank is taller than the ...
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summation r=1 to r=101 of, (r)*(101-r)c50 ...
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$\textbf{Calculate value of $\mathbf{x}$ in }$\\\\ \mathbf{\left[\frac{x}{1!}\right]+\left[\frac{x}{2!}\right]+\left[\frac{x}{3!}\right]+.................+\left[\frac{x}{2007!}\right] = 1005}$\\\\ \textbf{Where $\mathbf{\left ...
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I am Getting a *M Sc. in Economics @Kanpur *Process Engineering+MBA @Roorkee *All courses in Dhanbad *Mech and Electrical @Patna Please help me to choose..!! ...
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if number of function defined from f={1,2,3,4,5,6}→{7,8,9,10} such tht the sum of f(1)+f(2)+f(3)+f(4)+f(5)+f(6)=odd number is 2n .then find the value of n??? ...
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in calculating curved area and volume of a cone . let height =h and radius of base = r , where tanθ = r/h now my doubt is : suppose vertex of cone is origin and height is along x axis then we can write curved area = ∫2πy ...
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The expressions 1 + x, 1+x+x^2, 1+ x+ x^2 +x^3, .............. 1 + x + x^2 +........+ x^n are multiplied together and the terms of the product thus obtained are arranged in increasing powers of x in the form of a0 + a1X + a2^ ...
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Find the numbers of 4x4 array whose entries are from the set {0,1,2,3} and which are such that the sum of the numbers in each of the four rows and four columns is divisible by 4. ...
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$Let $x_{i}=2^i$ and $i=1,2,3...........16$\\\\ Then find Min. of the function $f(x) = \sum_{i=1}^{16}|x-x_{i}|$ ...
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Find solution/s to : (x)[x]=1. here ( ) is Least Integer Function. [ ]=Greatest Integer Function ...
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Q. A slightly conical wire of length L and end radii r1 and r2 is stretched by two forces F, F applied parallel to length in opposite directions and normal to end faces. If Y denotes the Young's modulus, then extension produc ...
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how to get all india rank <=1500 i want some good statergy given by iitians or it mentors ...
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1..what are different subjects in first year in IITs (eng.)?????? 2..do we require class 11 and 12 books for it?????? ...
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Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is ...
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Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is ...
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i was ranked 1306 in dis yearzz JEE...after dropping a year...... though i dont hav many options...m having an issue in making a choice between the ones which i have.. SOME OF MY PROBABLE OPTIONS.. bombay: civil,ep,aerospace ...
