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Find the point on the curve y^2=4x which...

Find the point on the curve `y^2=4x` which is nearest to the point (2, 1).

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Let `P(x,y)` be a point on the parabola `y^2=4x`
Distance between `P(x,y)` and `(2,1) `is
`S^2=(x−2) ^2+(y−1)^2`
`S^2=(4y^2−2) ^2+(y−1)^2`
...
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