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Find the equation of the line tangent to (a) The parabola z = 2x2 - 3y2, y = 1 at the point (-2,1,5) (b) The parabola z = 2x2 - 3y2, x = -2 at the point (-2,1,5) (c) The hyperbola z = 2x2 - 3y2, z = 5 at the point (-2,1,5) Show that these three lines lie in the plane 8x + 6y + z + 5 = 0

Find the equation of the line tangent to (a) The parabola z = 2x2 - 3y2, y = 1 at the point (-2,1,5) (b) The parabola z = 2x2 - 3y2, x = -2 at the point (-2,1,5) (c) The hyperbola z = 2x2 - 3y2, z = 5 at the point (-2,1,5) Show that these three lines lie in the plane 8x + 6y + z + 5 = 0

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 6SC
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Find the equation of the line tangent to

(a) The parabola z = 2x2 - 3y2, y = 1 at the point (-2,1,5)

(b) The parabola z = 2x2 - 3y2, x = -2 at the point (-2,1,5)

(c) The hyperbola z = 2x2 - 3y2, z = 5 at the point (-2,1,5)

Show that these three lines lie in the plane 8x + 6y + z + 5 = 0

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