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

Find the point on the curve `y^2=4x` which is nearest to the point `(2,\ -8)` .

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To find the point on the curve \( y^2 = 4x \) that is nearest to the point \( (2, -8) \), we can follow these steps: ### Step 1: Define the Distance Formula The distance \( D \) between a point \( (x, y) \) on the curve and the point \( (2, -8) \) can be expressed using the distance formula: \[ D = \sqrt{(x - 2)^2 + (y + 8)^2} \] ...
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