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Showing Tag: " vinod singh" (Show all posts)

Something Different!

Posted by vinod on Tuesday, November 16, 2010, In : Education 
1)Let p be an odd prime and n a positive integer. In the coordinate plane, eight distinct points with integer coordinates lie on a circle with diameter of length p^n. Prove that there exists a triangle with vertices at three of the given points such that the squares of its side lengths are  integers  divisible by p^n+1

2)Show that 1+2+3+........+n divides 1^k+2^k+...........+n^k, for and odd positive integer k and for nay natural number n

 3)Denote by a, b, c the lengths of the sides of a tria...
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Limits

Posted by vinod on Friday, June 25, 2010, In : Education 

Problems for IIT,AIEEWBJEE,ISC,CBSE and other boards on Limits. Click here to download  Follow on Buzz
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About Me


Vinod Singh Education : M.Sc Pure Mathematics,(Calcutta University) First Class. B.Sc Mathematics Honours,(St. Xavier's kolkata) First Class.

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