Conic sections Review

Conic sections Review

Assessment

Flashcard

Mathematics

11th Grade

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a conic section?

Back

A conic section is a curve obtained by intersecting a cone with a plane. The four types of conic sections are circles, ellipses, parabolas, and hyperbolas.

2.

FLASHCARD QUESTION

Front

What is the standard equation of a circle?

Back

The standard equation of a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².

3.

FLASHCARD QUESTION

Front

What distinguishes an ellipse from a circle?

Back

An ellipse is a stretched circle, defined by two foci, while a circle has a constant radius from its center.

4.

FLASHCARD QUESTION

Front

What is the standard equation of an ellipse?

Back

The standard equation of an ellipse centered at (h, k) is ((x - h)²/a²) + ((y - k)²/b²) = 1, where a and b are the semi-major and semi-minor axes.

5.

FLASHCARD QUESTION

Front

What is a hyperbola?

Back

A hyperbola is a type of conic section formed by the intersection of a plane and a double cone, characterized by two separate curves.

6.

FLASHCARD QUESTION

Front

What is the standard equation of a hyperbola?

Back

The standard equation of a hyperbola centered at (h, k) is ((x - h)²/a²) - ((y - k)²/b²) = 1 for horizontal hyperbolas, and vice versa for vertical hyperbolas.

7.

FLASHCARD QUESTION

Front

What is a parabola?

Back

A parabola is a conic section that is defined as the set of all points equidistant from a point (focus) and a line (directrix).

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