The tangent plane and the normal line of the surface y = x2 + z2 – 6 at thepoint (2, -1, 1) have the equations%3DO a) None of theseO b) 4x – y+ 2z = -11 and(x, y, z) = (2, –1, 1) + t(2, –1, 1)%3DO c) 4x + y+2z = 9 and (x, y, z) = (2, –1, 1) + t(4, 1, 2)%3D%3DO d) 4x – y+ 2z = 11 and (x, y, z) = (2, –1, 1) + t(4, –1, 2)%3D||

Answered: Image /qna-images/answer/3db4dedf-6d3b-4da5-b028-2cede86c1f75.jpg

The tangent plane and the normal line of the surface y = x² + z – 6 at the point (2, -1, 1) have the equations - O a) None of these O b) 4x – y + 2z = -11 and (x, y, z) = (2, –1, 1) + t(2, –1,1) | c) 4.x + y+ 2z = 9 and (x, y, z) = (2,-1, 1) + t(4, 1, 2) O d) 4x – y+ 2z = 11 and (x, y, z) = (2, –1, 1) + t(4, –1, 2) -

The tangent plane and the normal line of the surface y = x² + z – 6 at the point (2, -1, 1) have the equations - O a) None of these O b) 4x – y + 2z = -11 and (x, y, z) = (2, –1, 1) + t(2, –1,1) | c) 4.x + y+ 2z = 9 and (x, y, z) = (2,-1, 1) + t(4, 1, 2) O d) 4x – y+ 2z = 11 and (x, y, z) = (2, –1, 1) + t(4, –1, 2) -

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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