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question 1 of 10 if a right circular cone intersects a plane that runs …

Question

question 1 of 10

if a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n) ______.

a. ellipse
b. circle
c. hyperbola
d. parabola

Explanation:

Identify the geometric intersection

$$ \theta_{\text{plane}} = \theta_{\text{generator}} $$

Determine the conic section type

$$ e = 1 \implies \text{parabola} $$

Answer:

  • A. ellipse
  • B. circle
  • C. hyperbola
  • D. parabola (Correct answer)