Pre-Calculus Quiz 1.3 Ellipse

What is the shape of an ellipse most similar to?

• Line
• Circle
• Triangle
• Rectangle

Which element of an ellipse is the point where the major and minor axes intersect?

• Focus
• Center
• Vertex
• Co-vertex

Which segment represents the longest distance across an ellipse?

• Radius
• Minor axis
• Major axis
• Diagonal

How many foci does an ellipse have?

• One
• Two
• Three
• Four

In the standard form of a horizontal ellipse, which expression appears in the denominator under (x - h)²?

• b
• b²
• a
• a²

What is the correct standard equation of an ellipse centered at the origin with a horizontal major axis?

• x²/b² + y²/a² = 1
• x²/a² + y²/b² = 1
• y²/a² + x²/b² = 1
• y²/b² + x²/a² = 1

Which points lie at the ends of the major axis of an ellipse?

• Focus
• Center
• Vertices
• Co-vertices

Which term best describes the shorter line segment that passes through the center and is perpendicular to the major axis?

• Arc
• Chord
• Minor axis
• Transverse axis

Which of the following equations is a general form of an ellipse?

• x² + y² + 2x + 2y + 1 = 0
• 3x² + 4y² + 5x + 6y - 12 = 0
• x² - y² + 4x - 6y + 9 = 0
• x² + y² = r²

Which condition must be true for a general quadratic equation to represent an ellipse?

• A = B
• A < 0 and B < 0
• A > 0 and B > 0, A ≠ B
• A + B = 0 and C = D