Find the shortest distance of the point `(0, c)` from the parabola `y=x^2,w h e r e0lt=clt=5.`

Explanation

If S is the distance of the point (x, y) on the parabola `y=x^2` from (0, c), then


`S=sqrt(x^2+(y-c)^2)=sqrt(x^2+(x-c)^2)` which is least `implies S^2` is least.


`frac{dS^2}{dx}=2x+2(x^2-c)times 2x=0`



`implies x=0` or `x^2 = frac{c-1}{2}`
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