A Fairly Normal Asymmetry Problem

Calculus Level 3

Let PP be a point (other than the origin) lying on the parabola y=x2y = x^{2}. The normal line to the parabola at PP will intersect the parabola at another point QQ. The minimum possible value for the area bounded by the line PQPQ and the parabola is ab\dfrac{a}{b}, where aa and bb are positive coprime integers. Find a+ba + b.

Clarification: The normal line is the line perpendicular to the tangent line at a given point on a curve and which passes through the given point.

×

Problem Loading...

Note Loading...

Set Loading...