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4. Let P(x1, y1) be a point (not the vertex) on the parabola y² = 2px. Find the equation of the line normal to the parabola at this point. Show that this normal line intersects the x axis at the point Q (x1 + p, 0).

4. Let P(x1, y1) be a point (not the vertex) on the parabola y² = 2px. Find the equation of the line normal to the parabola at this point. Show that this normal line intersects the x axis at the point Q (x1 + p, 0).

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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4. Let P(x1, y1) be a point (not the vertex) on the parabola y² = 2px. Find the equation of the line normal to the parabola at this point. Show that this normal line intersects the x axis at the point Q (x1 + p, 0).
Transcribed Image Text:4. Let P(x1, y1) be a point (not the vertex) on the parabola y² = 2px. Find the equation of the line normal to the parabola at this point. Show that this normal line intersects the x axis at the point Q (x1 + p, 0).
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