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I.S.I. and C.M.I. Entrance Corner

Orbit of Planet (KVPY ’10)

A planet of mass $$m$$ is moving around a star of mass $$M$$ and radius $$R$$ in a circular orbit …

Complete-Not Compact (TIFR 2013 problem 23)

Question: True/False? Let $$X$$ be complete metric space such that distance between any two points is less than 1. Then …

Parallel Plate Capacitor using Paper Sheets

Suppose you are to construct a parallel plate capacitor of $$1\mu F$$ by using paper sheets of thickness $$0.05mm$$ as …

Understanding the Infinitesimal

Understanding the Infinitesimal  Cheenta Notes in Mathematics   Adding infinitely many positive quantities, you may end up having something finite. …

I.S.I. B.Stat and B.Math Entrance 2017

Let the sequence $$\{ a_n\} _{n \ge 1 }$$ be defined by  a_n = \tan n \theta …

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