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Raheel

I am Md.Raheel from kolkata,India . I am from class 8. I like Number theory and Geometry.

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9 USAMO 2017 -TSTST P2: Which words can Ana pick? Jul 26 '20
4 Construction of symmedians but different. Feb 2
3 INMO : Prove that $\sqrt[3]{a}$ and $\sqrt[3] {b}$ themselves are rational numbers [duplicate] Jul 31 '20
3 ISL 2006 G3:Prove that the line $AP$ bisects the side $CD$. Aug 3 '20
3 Prove that there are at least $n$ pairwise disjoint sets in the same class. Nov 11 '20
3 Prove that $ \max(a_1, a_2, \ldots, a_n)\leq 4\min(a_1, a_2, \ldots, a_n)$ Jan 8
2 Prove that$ \frac{a+b}{\sqrt{ab(1-ab)}} + \frac{b+c}{\sqrt{bc(1-bc)}} + \frac{c+a}{\sqrt{ca(1-ca)}} \le \frac{\sqrt{2}}{abc}$ Jan 9
2 $\sum_{cyc}\frac{\sqrt{b+c-a}}{\sqrt{b}+\sqrt{c}-\sqrt{a}}\leq 3 $ Jan 10
2 Find the area of quadrilateral $ABCD$ using the hexagon properties. Dec 2 '20
2 Let $ABCD$ be a cyclic quadrilateral and let $AB$ and $CD$ meet at $E$. Let $M= (EBC)\cap (EAD)$. Prove that $OM\perp EM$ Aug 11 '20
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