Conics Flashcard
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of the equation of a circle?
Back
(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
Tags
CCSS.HSG.GPE.A.1
2.
FLASHCARD QUESTION
Front
Identify the general form of a conic section.
Back
Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E, and F are constants.
Tags
CCSS.HSG.GPE.A.1
3.
FLASHCARD QUESTION
Front
What is the definition of an ellipse?
Back
A set of points where the sum of the distances from two fixed points (foci) is constant.
4.
FLASHCARD QUESTION
Front
What is the center of an ellipse given by the equation (x - h)²/a² + (y - k)²/b² = 1?
Back
The center is (h, k).
Tags
CCSS.HSG.GPE.A.1
5.
FLASHCARD QUESTION
Front
How do you determine if a conic section is a hyperbola?
Back
If the equation can be written in the form (x-h)²/a² - (y-k)²/b² = 1 or (y-k)²/b² - (x-h)²/a² = 1.
6.
FLASHCARD QUESTION
Front
What is the definition of a parabola?
Back
A set of points equidistant from a fixed point (focus) and a fixed line (directrix).
7.
FLASHCARD QUESTION
Front
What is the formula for the distance between the foci of a hyperbola?
Back
2c, where c = √(a² + b²).
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