Mathematics · Three Dimensional Geometry
The equation of the cylinder whose generators are parallel to the line x1 = y-2 = z3 and whose guiding curve is the ellipse x2 + 2y2 = 1, z = 0 is:
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- 19(x2 + 2y2 + z2) - 6xz + 12yz = 1
- 29(x2 + y2 + z2) - 6xz + 12yz = 1
- 39(x2 + y2 + z2) - 6xz + 12yz = 9
- 49(x2 + 2y2 + z2) - 6xz + 24yz = 9✓
Correct answer
9(x2 + 2y2 + z2) - 6xz + 24yz = 9
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