7. (a) Find the angle between the line == and the plane 2x + y+ 2z + 5 = 0. (b) Test the lines =4 = and 2x-y+4z 0 = x+ 2y+z are coplanar or not. If coplanar then find the equation of plane containing them, otherwise, find the shortest distance between them. (c) Define great circle. Find the centre and radius of the sphere x+y +z + 2x - 4y + 8z + 10 = 0. Also find the tangent plane to this sphere at (0, 1, - 1).
7. (a) Find the angle between the line == and the plane 2x + y+ 2z + 5 = 0. (b) Test the lines =4 = and 2x-y+4z 0 = x+ 2y+z are coplanar or not. If coplanar then find the equation of plane containing them, otherwise, find the shortest distance between them. (c) Define great circle. Find the centre and radius of the sphere x+y +z + 2x - 4y + 8z + 10 = 0. Also find the tangent plane to this sphere at (0, 1, - 1).
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
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