Ellipse and Circle TOTD

Ellipse and Circle TOTD

Assessment

Flashcard

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Mathematics

12th Grade

Hard

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15 questions

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1.

FLASHCARD

Front

What is the standard form of the equation of an ellipse?

Back

2.

FLASHCARD

Front

How do you find the center of a circle given its equation?

Back

3.

FLASHCARD

Front

What do the variables a and b represent in the equation of an ellipse?

Back

In the equation of an ellipse, a represents the length of the semi-major axis, and b represents the length of the semi-minor axis.

4.

FLASHCARD

Front

What is the relationship between the center and the radius in the equation of a circle?

Back

5.

FLASHCARD

Front

Back

Center: (-3, 2), Radius: 4 units.

6.

FLASHCARD

Front

What is the formula to calculate the distance between the foci of an ellipse?

Back

7.

FLASHCARD

Front

How do you determine if a given point lies inside, outside, or on a circle?

Back

8.

FLASHCARD

Front

What is the equation of a circle with center (0, 0) and radius 5?

Back

9.

FLASHCARD

Front

How do you convert the general form of a circle's equation to standard form?

Back

10.

FLASHCARD

Front

What is the significance of the values a and b in the ellipse equation?

Back

The values a and b determine the shape and size of the ellipse; a is the distance from the center to the vertices along the major axis, and b is the distance to the vertices along the minor axis.

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