Hyperboloid of Two Sheets

eq1: x^(2) - y^(2) / 9 - z^(2) / 9 = 1
k = -2.5 (slider from -5 to 5, step 0.1)
p: x = k
m = 5.9 (slider from -10 to 10, step 0.1)
q: y = m
n = -5.9 (slider from -12 to 12, step 0.1)
r: z = n
c = IntersectPath(r, eq1)
d = IntersectPath(p, eq1)
e = IntersectPath(q, eq1)