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Question Number 101777 by 1549442205 last updated on 04/Jul/20

$$\mathrm{Find}\mathrm{a}\mathrm{curve}\mathrm{passing}\mathrm{through}\mathrm{pointA}(0;1)$$$$\mathrm{for}\mathrm{which}\mathrm{the}\mathrm{triangle}\mathrm{formed}\mathrm{by}\mathrm{the}\mathrm{axis}\mathrm{Oy}$$$$,\mathrm{tangent}\mathrm{to}\mathrm{the}\mathrm{curve}\mathrm{at}\mathrm{its}\mathrm{arbitrary}\mathrm{point}$$$$\mathrm{and}\mathrm{the}\mathrm{radius}-\mathrm{vector}\mathrm{of}\mathrm{the}\mathrm{point}\mathrm{of}$$$$\mathrm{contact},\mathrm{issosceles}(\mathrm{and}\mathrm{base}\mathrm{is}\mathrm{the}\mathrm{segment}$$$$\mathrm{of}\mathrm{the}\mathrm{tangent}\mathrm{from}\mathrm{the}\mathrm{point}\mathrm{of}\mathrm{contact}$$$$\mathrm{to}\mathrm{the}\mathrm{axis}\mathrm{Oy})$$

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