Mathematics · Analytical Solid Geometry
Which of the following statements is NOT true regarding a cone in analytical geometry?
- 1If the guiding curve is a conic, then the equation of the cone need not be a quadratic equation.✓
- 2The degree of the equation of a cone depends on the degree of the equation of its guiding curve.
- 3Every homogeneous equation of second degree in three variables represents a cone with its vertex at the origin.
- 4A cone whose equation is quadratic is called a quadratic cone.
Correct answer
If the guiding curve is a conic, then the equation of the cone need not be a quadratic equation.
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