(a) Find and identify the traces of the quadric surface x2 + y2 − z2 =...
(a) Find and identify the traces of the quadric surface
x2 + y2 − z2 = 4, given the plane.
x = k
y=k
z=k
(IDENTIFY TRACE AND SHAPE OF THE TRACE)
Homework Answers
x2 + y2 − z2 = 4
x = k ==> y2 − z2 = 4-k2 ==> hyperbola
y = k ==> x2 − z2 = 4-k2 ==> hyperbola
z = k ==> x2 + y2 = 4+k2 ==> circle.
Given equation is a one sheet hyperboloid.
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