When a cone is sliced by a plane parallel to its base, but not passing through its apex, what is the shape of the resulting cross-section ?

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  1. Hyperbola
  2. Parabola
  3. Circle
  4. Ellipse

Answer (Detailed Solution Below)

Option 3 : Circle
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Detailed Solution

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Given : A cone is sliced by a plane parallel to its base, but not passing through its apex.

When a cone is sliced by a plane parallel to its base, but not passing through its apex, the shape of the resulting cross-section will be a circle.
As the base of the cone is circular, the cross-section will also be the same i.e. circular shaped.

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Hence, "Circle" is the correct answer.

Additional Information A cone is sliced by a plane parallel to its base, but not passing through its apex ⇒ It means the plane is cutting through the cone at a certain height above the base, without intersecting the very tip (apex) of the cone.

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