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1 Let P be the parabola with equation y Lx2, L be the line with equation y = V3 7. 3 1 and M be the line with equation y = -/3x – 3. Put A = (- В - (-2/3, 3) and V3'3 2 C = (-- -1). %3D V3' (a) Show that C is the point of intersection of the lines L and M. (b) Show that the line L is tangent to P at the point A and the line M is tangent to P at the point B. (c) Show that the triangle ABC is right-angled.

1 Let P be the parabola with equation y Lx2, L be the line with equation y = V3 7. 3 1 and M be the line with equation y = -/3x – 3. Put A = (- В - (-2/3, 3) and V3'3 2 C = (-- -1). %3D V3' (a) Show that C is the point of intersection of the lines L and M. (b) Show that the line L is tangent to P at the point A and the line M is tangent to P at the point B. (c) Show that the triangle ABC is right-angled.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1 x², L be the line with equation y 1 7. Let P be the parabola with equation y V3 3 1 ), в V3' 3 and M be the line with equation y = -V3x – 3. Put A (-2/3, 3) and 2 C = (- –1). V3 (a) Show that C is the point of intersection of the lines L and M. (b) Show that the line L is tangent to P at the point A and the line M is tangent to P at the point B. (c) Show that the triangle ABC is right-angled. (d) Show that the point of intersection of the parabola P and the curve with equation y = xV3 (where x > 0) is (4²+v3, 43+2v3).
Transcribed Image Text:1 x², L be the line with equation y 1 7. Let P be the parabola with equation y V3 3 1 ), в V3' 3 and M be the line with equation y = -V3x – 3. Put A (-2/3, 3) and 2 C = (- –1). V3 (a) Show that C is the point of intersection of the lines L and M. (b) Show that the line L is tangent to P at the point A and the line M is tangent to P at the point B. (c) Show that the triangle ABC is right-angled. (d) Show that the point of intersection of the parabola P and the curve with equation y = xV3 (where x > 0) is (4²+v3, 43+2v3).
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