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If \(\alpha\) is complex and \(x^2+\alpha x+\overline{\alpha}=0\) has a real root \(\lambda\), then \(\lambda\) is equal to

A triangle with sides \(\sqrt{k+1}\), \(k+1\) and \(k+2\), where \(k\) is a positive integer, must be

Writing a great physics problem is something of an art. There is certainly no one path to writing one, but there are some things to think about when you do ...

An Arithmetic Progression is defined as a sequence such that the difference between two consecutive terms is constant. Hence the \(n^{\text{th}}\) term of such a sequence is given ...

\[(m+2)\sin\theta+(2m-1)\cos\theta=2m+1\]

What is the value of \(\tan\theta\)?

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