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Consider a square sheet of side $1$ unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded s...
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​​The real variables $x, y, z$, and the real constants $p, q, r$ satisfy\[\frac{x}{p q-r^{2}}=\frac{y}{q r-p^{2}}=\frac{z}{r p-q^{2}}\]Given that the denominators are non...