Conics

Conics

Assessment

Flashcard

Mathematics

10th Grade

Hard

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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 general equation of a circle?

Back

The general equation of a circle is (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 form of an ellipse?

Back

The standard form of an ellipse is (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 form of a hyperbola?

Back

The standard form of a hyperbola is (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 definition of a parabola?

Back

A parabola is a conic section that is formed by the intersection of a cone and a plane parallel to its side. It can be represented by the equation y = ax² + bx + c.

6.

FLASHCARD QUESTION

Front

How do you find the vertex of a parabola given its equation in standard form?

Back

For the equation y = ax² + bx + c, the vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

7.

FLASHCARD QUESTION

Front

What are the foci of an ellipse?

Back

The foci of an ellipse are two fixed points located along the major axis, and the sum of the distances from any point on the ellipse to the foci is constant.

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