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What is the maximum number of points with rational coordinates on the circumference of a circle with centre at \((\sqrt3,0) \)?

This problem was asked in JEE 2015. It states: If the degeneracy of hydrogen atom in second excited state (\(n=3\)) is 9 then find the degeneracy of hydride anion ...

If \(M\) be the A.M. of the possible values of integer \(n\) such that \(n^2 + 19n + 92\) is a perfect square, then the value of \(M + 10\) is ...

A stick of length 1 has broken uniformly at random at 2 places simultaneously, resulting in 3 parts.

What is the probability that these 3 parts can form a triangle?

If \(f(x)\) is twice differentiable function such that \( f(a)=0 , f(b)=2, f(c)=-1, f(d)=2, f(e)=0, \) where \( a<b<c<d<e\) ,then the minimum no ...

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