The correct option is B 3√28
Shortest distance between two curve occurred along the common normal Slope of normal to y2=x at point P(t2,t) is -2t and slope of line y−x=1 is 1.
As they are perpendicular to each other
And shortest distance =∣∣∣12−14−1√2∣∣∣
So shortest distance between them is3√28