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Question Number 46011 by peter frank last updated on 19/Oct/18

$$\mathbf{P}\mathbf{is}\mathbf{any}\mathbf{point}\mathbf{on}\mathbf{rectangular}$$$$\mathbf{xy}={\mathbf{c}}^2\mathbf{show}\mathbf{that}\mathbf{the}\mathbf{line}\mathbf{joining}$$$$\mathbf{P}\mathrm{to}\mathrm{the}\mathrm{centre}\mathrm{and}\mathrm{the}$$$$\mathrm{tangent}\mathrm{at}\mathrm{P}\mathrm{are}\mathrm{equally}\mathrm{inclined}$$$$\mathrm{to}\mathrm{the}\mathrm{assymptotes}$$

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