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This is a very famous problem of Mathematics (Not very much in IIT Syllabus though! but a very very interesting question of Limits!) A man Starts from his home to office. When he reaches half way he starts to go back to his h ...
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Part 1: On a circle which circumscribes a n-sided polygon A1,A2,A3,.... An, a point M is taken. Prove that the sum of the squares of the distances from this point to all the vertices of the polygos is a number(independent of ...
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*Image* A uniform sphere of mass m and radius r rolls without sliding over a horizontal plane, rotating about a horizontal axle OA. in the process, the center of the sphere moves with velocity v along a circle of radius R. Fi ...
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A weightless rod of length l with a small load of mass m at the end is hinged ar point A and occupies a strictly vertical position, touching a body of mass M.A slight jerk sets the system in motion. Frixtion is neglected and ...
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PLS ATLEAST HAVE A LOOK CALCULUS BEGINNERS http://www.plu.edu/~heathdj/java/calc1/Epsilon.html ...
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Q1. A small spherical ball of mass m and radius r rolls in a concave surface of radius R with sufficient friction. Find the time period of the resulting SHM. Q2. A body of mass m and specific gravity d(>1) floats in water. ...
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*Image* What are A and B? ...
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http://www.allaboutcircuits.com/vol_1/chpt_10/13.html I have resisted a lot in the past against this method. I really feel that this method takes away the joy of solving complex circuits and should be studied only at an engin ...
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A compilation of quesitons similar to the way bhargav had one :P (hence borrowed a part of the name..) Keep solving and i will keep adding questions here... To begin with first 5 are here... Question 1) \left(\frac{dy}{dx}+1\ ...
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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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A comet is moving in a parabolic path around the Sun in the same plane as the orbit of Earth (without any collision with the Earth, obviously!). Determine the maximum time that this comet can spend within the Earth's orbit, w ...
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Q1. Remainder when the number 111....1 (123 ones) is divided by 271 is Q2. The period of the function such that f(x-1) + f(x+1) = 2 f(x) is Q3. Let S=\sum_{k=1}^{80}{\frac{1}{\sqrt{k}}} . Then [S] equals where [] is GINT Q4. ...
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http://www.youtube.com/watch?v=mzKmGTVmqJs ...
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*Image* ...
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well....organic a nightmare for many fun for others....a house of many exceptions to basic phenomenon n reactions is the beauty of ORGANIC CHEMISTRY!!!!!!! so this thread is dedicated to those exceptions in organic chemistry! ...
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AN ATTEMPT TO HELP 1) Stereochemistry of diel's alder reaction : If a Diels–Alder reaction creates an aymmetric carbon in the product, identical amounts of the R and S enantiomers will be formed. In other words, the product ...
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\texttt{deduce that } \prod_{k=1}^{n-1}{\sin \frac{k\pi}{n}}=\frac{n}{2^{n-1}} ...
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Q1) For any acute angled triangle, \Delta ABC find the minimum value of \frac{sin A}{A}+\frac{sin B}{B}+\frac{sin C}{C} Q2) Find the volume of the largest cylinder that can be inscribed in a sphere of radius 'r' cm. Q3) A con ...
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long time since posted ques.............here are some for 2011 aspirants daily updates..... Day1 Q1 Express 1*3*5*...*(2n-1)/2*4*6*8....*(2n) as a/2w where a is odd and w<2n Q2 Prove that there is no prime number in sequen ...
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The older one couldn't be edited, so I decided to make a new thread. Instructions for viewing : Right click and click on Zoom-In atleast thrice for a better view..and then use the mouse to navigate through the document. List ...
