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If \(\displaystyle M=\sum_{n=1}^{1728}H_{n}H_{1729-n}\) and \(\displaystyle E=2\sum_{n=1}^{1728}H_{n}\left(\frac{1729-n}{n+1}\right)\), find ...

\[433x^{2}+y^{2}+\sqrt{1729}xy+\sqrt{3}x-\sqrt{3}y+1729!\] For real values of \(x,y\) the above expression attains minimum value at ...

A large heavy box is siding without friction down a smooth inclined plane of inclination \(\theta \). From a point P on the bottom of the box a particle is projected ...

Welcome , Fun For All !!

Hello Guys, I am entering 11th grade now. Can you suggest what all exams should I apply for being a 11th grader?

I know these: KVPY, NSEA , NSEP , RMO.

Are ...

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