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this was toughest question in inpho2008 others were too easy try part b Sunlight falls on the convex surface of the plano - convex lens of aperture 0.080 m. The radius of curvature of the convex surface of the lens is 0.100 m ...
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Without graphing can you write out all solutions to x2 = 2x ? This is not entirely JEE stuff, but you can learn an interesting concept here ...
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sum 1 tel me...................... Sum of d factors of 10! which are odd and are of d form "3m+2", m belongs to N ...
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A triange has sides a,b,c and altitudes opp. to these sides h1,h2,h3 resp. The max. value of a2/h12+b2/h22+c2/h32 = ? ...
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1 Prove that ∫ (1+x)(1+x3) dt cant exceed 0 15/8 ...
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Don't want soln or any hint just the answer.. If the roots of the equation ax2+cx+c=0 be in ratio p:q then.... p/q + q/p + c/a =? ...
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PLS ATLEAST HAVE A LOOK CALCULUS BEGINNERS http://www.plu.edu/~heathdj/java/calc1/Epsilon.html ...
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I KNOW THESE ARE USELESS BUT I FOUND SOME OVER FOR THESE SO I MADE A C++ PROG (MY COMP EXAM DAY AFTER TOMMORROW) USING FILE HANDLNG......... 1==>[1] 2==>[2] 3==>[3] 4==>[4] 5==>[5] 6==>[6] 7==>[7] 8==> ...
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*Image* The figure shows a rope looped over two pipes A and B.If the coefficient of static friction is 0.25 in both the surfaces , determine smallest and largest values of m for which equillibrium is possible ...
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Point A moves uniformly with velocity 'v' so that the vector 'v' is continually "aimed" at point B which in its turn moves rectilinearly and uniformly with velocity u<v. At the initial moment of time v perpendicular to u a ...
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For positive x and y, establish the following inequality x^y + y^x>1 . ...
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If z = \cos \frac{2 \pi}{n} + i \sin \frac{2 \pi}{n} , n \in \mathBB{N}; n \ge 3 define A = \{1,z,z^2,z^3,...,z^{n-1} \} B = \{ 1, 1+z, 1+z+z^2,...,1+z+z^2+...+z^{n-1} \} Determine A \bigcap{B} ...
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Prove that for every real number x, [x]+[x+1/n]+[x+2/n]+.........[x+(n-1)/n] = [nx] [x]+[x+\frac{1}{n}]+[x+\frac{2}{n}]+...+[x+\frac{n-1}{n}]=[nx] Where [] denotes greatest integer function Because no one has been able to sol ...
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Again from Askiitians.com (this problem was an oasis in the mind-numbingly boring queries there) Find all continuous functions f: R→R satisfying f[(x-y)2] = f2(x) - 2x f(y) + y2 ...
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First look this might seem an olympiad problem that may scare some of you... but try this problem to get an insight on how to solve such problems... x+y+z = w 1/x + 1/y + 1/z = 1/w Solve for x, y and z... (Not that you have t ...
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*Image* ...
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this thread is mainly intended to give some insight into congruences and how to solve various jee related problems using that concept.. definition of congruent: A number `a` is said to be congruent to `b` modulo `m` if `m` di ...
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Among various properties of continous, we have if f is continous function on [a,b] and f(a) f(b) < 0, then there exists a point c in (a,b) such that f(x) = 0 equivalently if f is continous on [a,b] and x belongs to R is su ...
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Didnt want to make the previous thread tooo long..http://targetiit.com/iit-jee-forum/posts/inequalities-sikhna-chahte-ho-to-sikho-varna-koi-b-11546.html so new questions in new thread... This is season 2 of "Inequalities Sikh ...
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Fermat's Little theorem states taht .... If p is prime, then P divides ap-a A good question for congruences.... To understand and implement it.... I am giving the guidelines on how to approach and solve.. see if it fits your ...
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A fair coin is tossed n times. What is the probability that heads do not appear on consecutive tosses? I am giving this question as a continuation of the Tiling of the floor.. (to see how many of you understood the idea) ...
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A continuation of what b555 started, I'm posting here another theorem namely the Totient theorem or the famous "EULER'S-PHI-FUNCTION-FORMULA" to ease the mod-bashings....beleive me this is another tool to ease rem calculation ...
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|z2-4|<1 Where z is any complex number on the Argand plane.. ...
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wht is the Geometrical interpretation of the integration by parts formula???? plz give explaination ...
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Remember the formula for the sum of cubes of 1st n naturals..... \frac{n^2(n+1)^2}{4} Remember the formula we learnt in progressions for deriving this? Now derive this using bionomial theorem..... ...
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if....\theta =\frac{2\pi }{2009}.... then.....cos\theta cos 2\theta cos 3\theta ..............cos 1004\theta ........is equal to ..... ...
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*Image* ...
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In (1 + x + x2 + 2x3 + x4 + x5 + x6)n the coefficient of x4 is?????? ...
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1.Find the remainder when 2710 +751 is divided by 10. PLEASE TELL ME THE GENERAL METHOD TO THIS SUM 2.determine constant term in expansion ok (1+ x + (1/x)2 + (1/x)3)10 ...
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please explain what does max { |x| , |y| } ≤ 4 . stand for in the foll ques????? Cosnider the region R which is enclosed by the curve y ≥ √ 1 - x2 and max { |x| , |y| } ≤ 4 . The slope of a family of lines defined as ...
