Consider two planes kx + y + z − k = 0 and kz − ky + x = −1 for a real number k.(a) Find the line of intersection of the planes L.(b) As the value of k varies, the line L will trace out some surface S. Find a parametric equation forthe curve of intersection of the surface S and the plane z = c.(c) Find the volume bounded by S and the planes z = 0 and z = 1.
Consider two planes kx + y + z − k = 0 and kz − ky + x = −1 for a real number k.
(a) Find the line of intersection of the planes L.
(b) As the value of k varies, the line L will trace out some surface S. Find a parametric equation for
the curve of intersection of the surface S and the plane z = c.
(c) Find the volume bounded by S and the planes z = 0 and z = 1.
Praneetha reddy , 9 Years ago
Grade 12th Pass
