Elliptic Cone

eq1: (16 * x^(2)) - y^(2) - (4 * z^(2)) = 0
k = 9.3 (slider from -10 to 10, step 0.1)
p: x = k
m = -15 (slider from -30 to 30, step 5)
q: y = m
n = 2 (slider from -20 to 20, step 1)
r: z = n
c = IntersectPath(r, eq1)
d = IntersectPath(p, eq1)
e = IntersectPath(q, eq1)