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Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. Let P(x1, Y1) be a point on the parabola x?: be the angle between the parabola and the line segment FP, and let 3 be the angle between the vertical line x = x1 and the parabola. :4py, p > 0, with focus F(0, p). Let a %3D Determine an equation of the tangent line of the parabola at point P. Given two lines L1 and L2 intersecting at an angle 0, if m1 and m2 are the slopes of L, and L2, respectively, then it is known that m2 – mị tan 0 = 1+m¡m2 By using the fact given above, show that a = B.
Transcribed Image Text:1. Let P(x1, Y1) be a point on the parabola x?: be the angle between the parabola and the line segment FP, and let 3 be the angle between the vertical line x = x1 and the parabola. :4py, p > 0, with focus F(0, p). Let a %3D Determine an equation of the tangent line of the parabola at point P. Given two lines L1 and L2 intersecting at an angle 0, if m1 and m2 are the slopes of L, and L2, respectively, then it is known that m2 – mị tan 0 = 1+m¡m2 By using the fact given above, show that a = B.
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