Conic Sections

Conic Sections

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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14 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

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

3.

FLASHCARD QUESTION

Front

What is the standard equation of an ellipse?

Back

(x - h)²/a² + (y - k)²/b² = 1, where (h, k) is the center, a is the semi-major axis, and b is the semi-minor axis.

4.

FLASHCARD QUESTION

Front

What is the standard equation of a hyperbola?

Back

(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1, where (h, k) is the center.

5.

FLASHCARD QUESTION

Front

What is the standard equation of a parabola that opens upwards?

Back

(x - h)² = 4p(y - k), where (h, k) is the vertex and p is the distance from the vertex to the focus.

6.

FLASHCARD QUESTION

Front

What is the focus of a parabola?

Back

The focus is a point from which distances to points on the parabola are measured.

7.

FLASHCARD QUESTION

Front

What is the directrix of a parabola?

Back

The directrix is a line used in the definition of a parabola, where each point on the parabola is equidistant from the focus and the directrix.

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