The given equation is given as,
It is given that the curve is nearest to the point .
Consider point as any point on the curve.
The formula for the distance between two points is,
Substitute 0 for and 5 for in the above equation.
Substitute the value from equation (1)
For maxima or minima,
Hence, is minimum and is minimum at .
From equation (1)
Therefore, and are two points on curve nearest to .
Thus, the correct option is .