Wednesday, 16 October 2013

P is a randomly chosen

P is a randomly chosen point in a unit square. Connect P to the vertices of the base. Find the probability that the triangle is acute angled; What will be the probability for a right angled triangle. 
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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, ...