MathDB
Today's calculation of Integral 472

Source: 1976 Hitotsubashi University entrance 2nd exam Problem 3

August 11, 2009
calculusintegrationconicsparabolageometryanalytic geometrycalculus computations

Problem Statement

Given a line segment PQ PQ moving on the parabola y \equal{} x^2 with end points on the parabola. The area of the figure surrounded by PQ PQ and the parabola is always equal to 43 \frac {4}{3}. Find the equation of the locus of the mid point M M of PQ PQ.
Back to ProblemsView on AoPS