A conic section whose eccentricity is less than one is known as an ellipse.

Here are the steps to understand why:

1. A conic section refers to the intersection of a plane and a cone. Depending on the angle of intersection, the shape can be a circle, ellipse, parabola, or hyperbola.

2. The eccentricity of a conic section is a measure of how much it deviates from being a perfect circle. It is defined as the ratio of the distance between the foci of the ellipse to the length of the major axis.

3. If the eccentricity is zero, the conic section is a circle.

4. If the eccentricity is exactly 1, the conic section is a parabola.

5. If the eccentricity is greater than 1, the conic section is a hyperbola.

6. Therefore, if the eccentricity is less than 1 (but not zero), the conic section is an ellipse.

Question

A conic section whose eccentricity is less than one is known as an ellipse.

Here are the steps to understand why:

1. A conic section refers to the intersection of a plane and a cone. Depending on the angle of intersection, the shape can be a circle, ellipse, parabola, or hyperbola.

2. The eccentricity of a conic section is a measure of how much it deviates from being a perfect circle. It is defined as the ratio of the distance between the foci of the ellipse to the length of the major axis.

3. If the eccentricity is zero, the conic section is a circle.

4. If the eccentricity is exactly 1, the conic section is a parabola.

5. If the eccentricity is greater than 1, the conic section is a hyperbola.

6. Therefore, if the eccentricity is less than 1 (but not zero), the conic section is an ellipse.

Knowee AI · Accepted Answer

A conic section whose eccentricity is less than one is known as an ellipse.

Here are the steps to understand why:

1. A conic section refers to the intersection of a plane and a cone. Depending on the angle of intersection, the shape can be a circle, ellipse, parabola, or hyperbola.

2. The eccentricity of a conic section is a measure of how much it deviates from being a perfect circle. It is defined as the ratio of the distance between the foci of the ellipse to the length of the major axis.

3. If the eccentricity is zero, the conic section is a circle.

4. If the eccentricity is exactly 1, the conic section is a parabola.

5. If the eccentricity is greater than 1, the conic section is a hyperbola.

6. Therefore, if the eccentricity is less than 1 (but not zero), the conic section is an ellipse.

A conic section whose eccentricity is less than one is known as:

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