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A circle with center O and radius R is drawn on a paper, and A is a given point inside the circle with OA=a. Fold the paper to make a point A' on the circumference coincident with point A, then a crease line is left on the pa ...
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A turntable rotates with constant angular speed \Omega . A ball rolls on it,without slipping .the ball has uniform mass density , so moment of inertia is I=\frac{2}{5}MR^2 show that whatever the (non -slipping )initial condit ...
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The chicken wants to cross the road on which cars circulate (all cars run at the same constant speed - 30km/h and occupy the entire width of the road). The chicken follows the trajectory that leaves him the best chance of sur ...
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Show that out of {[x,2x,..,(n-1)x]} there must be one which differ from an integer by at most 1/n . Where x is a given real number and n is a given positive integer. ...
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lim(n→∞) 1/1+n2 + 2/2+n2 +...+ n/n+n2 ...
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If a, b, c be in GP & logca, logbc, logab be in AP, then prove that the common difference of AP is 3/2 ...
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