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Parabola

Source: 2002 National High School Mathematics League, Exam One, Problem 13

March 16, 2020
conicsparabola

Problem Statement

A(0,2)A(0,2), and two points B,CB,C on parabola y2=x+4y^2=x+4 satisfy that AB⊥BCAB\perp BC. Find the range value of yCy_C.
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