Q28 of 29 Page 1

Find the shortest distance between the line x - y + 1 = 0 and the curve y2 = x.

Any point on the curve y2 = x, will have the form (t2, t) [Parametric form]


Now, distance of a point (x1, y1) from a line Ax + By + C = 0 is



Hence,




Now, square of any value is always greater than 0, the above value will be minimum when



Hence, shortest distance units


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