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In the three dimensions the equation x² - y³ = a² represents?
  1. A pair of straight line
  2. A hyperbola
  3. A cylinder
  4. A cone
Explanation
In 3D, if z doesn’t appear in the equation, the surface is a cylinder - it extends infinitely along the z-axis.
x² - y³ = a² doesn’t have z in it, so for every (x,y) that satisfies it, z can be anything.

Last verified on 04-06-2026

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