Friday, 11 October 2013

Parallel to AO

Let ABC be any triangle and let O be a point on the line segment BC. Show that there exists a line parallel to AO which divides the triangle ABC into two equal parts of equal area.
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Define f:R→R by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...