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Question Number 131674 by liberty last updated on 07/Feb/21

$$\mathrm{Given}\mathrm{y}=\mathrm{f}\left(\mathrm{x}\right)\mathrm{satisfies}$$$$\frac{\mathrm{dy}}{\mathrm{dx}}+\frac{\sqrt{({\mathrm{x}}^2-1)({\mathrm{y}}^2-1)}}{\mathrm{xy}}=1$$$$\mathrm{lies}\mathrm{at}\mathrm{point}(1,1)\mathrm{and}(\sqrt{2},\mathrm{k}).$$$$\mathrm{find}\mathrm{k}.$$

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