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Today is the birthday of theprophet sir wishing him many more happy years to come happy birthday sir ...
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Happy diwali to all the tiit users Enjoy everyone! ...
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(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 ...
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Let f be twice differentiable in [0,2]. show that if f(0)=0,f(1)=2, f(2)=4, then there is an 'x' in (0,2) such that f''(x)=0 ...
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Use the mean value theorem to prove that |sinx-siny| ≤|x-y| for all real numbers x,y ...
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If x,y,p satisfy x2+y2=p where p is a prime (4k+1) Then prove that the above equation has one and only one solution in Z ...
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You people in 9th and 10th might find this really useful :) http://library.thinkquest.org/20991/alg2/graphs.html ...
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for all those u people who really have an interest in maths or like the subject , try reading this book no pre requisites, no need to be a genius a pure inquisitive brain is all thats needed Mathematical essays and recreation ...
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Happy birthday sir ...
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1) How many permutations of the letters a, b, c, d, e, f, g have either two or three letters between a and b? ...
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just for practice 1)Find an equation of the line through the point A (4,5,5) which meets the line (x-11)/3 = (y+8)/-1 = z-4 at right angles. ...
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Let a be the smallest +ve integer with the property as follows: there are distinct positive integers a1,a2,a3,a4,a5 such that g(x)=(x-a1)(x-a2)(x-a3)(x-a4)(x-a5) has at least `a` non zero coefficients find set of (a1,a2,a3,a4 ...
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Find an 8 digit no. whose 1st digit tells how many zero(s)are there, 2nd tells how many one(s)are there, 3rd digit tells how many two(s) are there and so on in the number. ...
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http://arxiv.org/ Open access to 620,940 e-prints in Physics, Mathematics, Computer Science, Quantitative Biology, Quantitative Finance and Statistics a good one ...
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Find all the pairs of positive numbers such that the last digit of their sum is 3, their diference is a primer number and their product is a perfect square. (a previous olympiad question,interesting one) ...
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Find the values of x; y for which x2 + y2 takes the minimum valuewhere (x + 5)2 + (y-12)2 = 142. ...
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Find coordinates of a set of eight non-collinear planar points so that each has an integral distance from others. ...
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Show that in any set of eleven integers there are six whose sum is divisible by 6 . ...
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There are 5 ships in a port. 1. The Greek ship leaves at six and carries coffee. 2. The ship in the middle has a black chimney. 3. The English ship leaves at nine. 4. The French ship with a blue chimney is to the left of a sh ...
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Given 2 positive integers a,b satisfying a< b . Prove that among every b consecutive positive integers there are two numbers whose product is divisible by ab . ...
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Three boxes contain 600 balls each. The first box contains 600 identical red balls, the second box contains 600 identical white balls and the third box contains 600 identical blue balls. From these three boxes, 900 balls are ...
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Fifteen boys are standing on a field, and each of them has a ball. No two distances between two of the boys are equal. Each boy throws his ball to the boy standing closest to him. (a) Show that one of the boys does not get an ...
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prophet sir .. have a try at this one :) Each of the boys A and B tells the teacher a positive integer but neither of them knows the other`s number.The teacher writes 2 distince positive integers on the blackboard and announc ...
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When Sachin Tendulkar travelled to Pakistan to face one of the finest bowling attacks ever assembled in cricket, Michael Schumacher was yet to race a F1 car, Lance Armstrong had never been to the Tour de France, Diego Maradon ...
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make 4 equilateral triangles with 7sticks (all the sticks are of equal length) ...
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*Image* my salute to the genius for his 200!! ...
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give the full solution 4 pipes fill a cisern in 15,20,30 and 60 hrs .The first was opened at 6 am,the second at 8am,and the thrid at 10 am and the fourth at noon .When will the reservoir be full? ...
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do there exist 1 000 000 positive integers such that the sum of any collection of these integers is never a perfect square. ...
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1)two planets A and B describe circles of radii r1 and r2 round the sun as centre with speed varying as the square root of their radii... Find the angle between the radii of these two planets when their relative angular veloc ...
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At a given instant there are 25% undecayed radioactive nuclei in a sample. After 10 seconds the number of undecayed nuclei redu ces to 12.5%. Calculate: (i) mean life of the nuclei (ii) the time in which the number of undecay ...
