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Find the equation of a curve passing thr...

Find the equation of a curve passing through the point `(1, 1)`, given that the segment of any tangent drawn to the curve between the point of tangency and the y-axis is bisected at the x-axis.

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equation of tangent with slope `m`
`y-y_1=m(x-x_1)`
`y-mx=y_1-mx_1`
`y-mx+mx_1-y_1=0`
...
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