A cone is cut by a plane as shown, where the plane is not parallel to the base. The cross-section of the cone and the plane is

A) a circle.
B) an ellipse.
C) a parabola.
D) a hyperbola.

A cone is cut by a plane as shown where the plane is not parallel to the base The crosssection of the cone and the plane isA a circle B an ellipse C a parabola class=

Respuesta :

Answer:

Option (b) is correct.

The cross-section of the cone and the plane is an ellipse.

Step-by-step explanation:

Given : A cone is cut by a plane as shown, where the plane is not parallel to the base.

We have to determine the shape of the cross-section of the cone and the plane.

Since, The cone is cut by the plane which is not parallel to its base.

a > b

There a is the horizontal distance between the slant height of cone.

and b is vertical distance.

Thus, when a > b  

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2} =1[/tex]

Thus, The cross-section of the cone and the plane is an ellipse.

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