Friday 20 August 2021

If two real numbers \(x\) and \(y\) satisfy \((x+5)^{2}+(y-10)^{2}=196\), then the minimum possible value of \(x^{2}+2x+y^{2}-4y\) is

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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, &a...