Circle and Ellipse Mini-Flashcard

Front

What are the values of a and b for the ellipse with vertices (-7, -3) and (13, -3) and foci (-5, -3) and (11, -3)?

Back

a = 10, b = 6

Front

What is the eccentricity of the ellipse with a = 10 and b = 6?

Back

0.78

Front

Write the equation of the ellipse with center (1, -4), a = 5, and b = 3.

Back

Front

Which statement is false about the ellipse with foci at (-2, 2±2√3)?

Back

The length of the minor axis is 4.

Front

What is the equation of the ellipse with center (1, -4), a = 5, and b = 3?

Back

Front

What is the formula for the eccentricity of an ellipse?

Back

Front

What do the values a and b represent in the context of an ellipse?

Back

a is the semi-major axis length, and b is the semi-minor axis length.

Front

How do you find the foci of an ellipse given a and b?

Back

c = \sqrt{a^2 - b^2}, foci = (h±c, k) for horizontal ellipses or (h, k±c) for vertical ellipses.

Front

What is the standard form of the equation of a horizontal ellipse?

Back

Front

What is the standard form of the equation of a vertical ellipse?

Back