What is a conic section?
Conics

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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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