Vivekanand Vellanki

Please try the following steps:

  1. Let (x1, y1) be a point in the first equation. We know that y1 = x1^2 in this case
  2. Let (x2, y2) be a point in the second equation
  3. Write an equation for the distance between these 2 points. You will get a quadratic equation in x1 and x2
  4. Find the minimum possible value that this quadratic equation can take

For these equations, you have to minimize the following:


This gives \sqrt{13} for x_1=0;\ x_2=2. I tried minimising the 2nd part of the above expression.