JEE Advance - Mathematics (1992 - No. 18)
What normal to the curve $$y = {x^2}$$ forms the shortest chord?
A line with a slope of √2.
The normal at the point where the radius of curvature is minimized.
A line perpendicular to the tangent at x = ±√2.
The line x + √2y = √2 and x - √2y = -√2
The line x + √2y = √2 or the line x - √2y = -√2