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Which shape could not be the intersection of a cone and a plane?

a circle
bellipse
C
parabola
d rectangle

User Erlin
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1 Answer

7 votes

Answer: Rectangle

Step-by-step explanation: When a plane intersects a cone, the resulting shape can vary depending on the angle and position of the intersecting plane. However, the intersection of a cone and a plane will never produce a rectangle.

Here are the possible shapes that can be formed by the intersection of a cone and a plane:

1. Circle: If the intersecting plane is perpendicular to the axis of the cone, the intersection will be a circle.

2. Ellipse: If the intersecting plane is slanted and cuts through the cone, the resulting shape will be an ellipse.

3. Parabola: If the intersecting plane is parallel to one of the cones' sides, the intersection will be a parabola.

Therefore, the shape that cannot be the intersection of a cone and a plane is a rectangle.

User Ericzma
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