Question

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. Circle
B. ellipse
C. Parabola
D. Hyperbola

Answer 1

Option C is correct.i.e., we get Parabola if a cone is cut parallel to its edge.

Explanation:

Given: A Right Circular Cone

To find: Shape of of cross section when cone is cut by a plan parallel

to edge of cone

Cone has an apex on top and circle in base so if it is cut parallel to its edge we get a shape which is curved or pointy on one end while on the other end it is open due to circle.

Option A: Circle is closed from everywhere,

Thus it is not correct.

Option B: Ellipse is also not open from any end.

Thus, it is not correct.

Option C: Parabola is curved from one end and open from other end.

Thus this is correct.

Option D: We get parabola if cone is cur parallel to axis.

Thus it is also not correct.

Therefore, Option C is correct.i.e., we get Parabola if a cone is cut parallel to its edge.

Answer 2

Question: If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n)?

Answer: Parabola

HOPE THIS HELPS! ^_^