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Analytic Geometry

Source: 1999 National High School Mathematics League, Exam One, Problem 6

March 10, 2020
conicsparabolaanalytic geometrygeometry

Problem Statement

Points A(1,2)A(1,2), a line that passes (5,−2)(5,-2) intersects the parabola y2=4xy^2=4x at two points B,CB,C. Then, △ABC\triangle ABC is (A)\text{(A)} an acute triangle (B)\text{(B)} an obtuse triangle (C)\text{(C)} a right triangle (D)\text{(D)} not sure
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