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Parabola Problem

Source: 1991 National High School Mathematics League, Exam One, Problem 14

February 26, 2020
conicsparabolageometry

Problem Statement

OO is the vertex of a parabola, FF is its focus. PQPQ is a chord of the parabola. If ∣OF∣=a,∣PQ∣=b|OF|=a,|PQ|=b, find the area of △OPQ\triangle OPQ.
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