Equation of the curve is ……….(i)
Let P be any point on the curve (i), then according to question,
Distance between given point (0, 5) and P = (say)
= [From eq. (i)]
= Z (say)
and
Now
At
[Positive]
Z is minimum and is minimum at
From eq. (i)
and are two points on curve (i) which are nearest to (0, 5).
Therefore, The correct option is option (A) .