Conic Sections Flashcard

Front

What is the result of slicing a rectangular pyramid parallel to the base?

Back

Rectangle

Front

What is the equation of a circle with center at (0, 9) and radius 4?

Back

(x + 0)^2 + (y - 9)^2 = 4^2

Front

What shape is formed when a cone is cut by a plane perpendicular to its base?

Back

Triangle

Front

What is the cross-section of a cylinder when intersected by a plane perpendicular to the base?

Back

Rectangle

Front

What is the shape of the cross-section formed when a plane intersects a cone at an angle?

Back

Ellipse

Front

What is the general equation of a circle?

Back

(x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

Front

What is the shape of the cross-section of a sphere?

Back

Circle

Front

What is the result of slicing a cone parallel to its base?

Back

Circle

Front

What is the equation of a parabola that opens upwards?

Back

y = ax^2 + bx + c, where a > 0.

Front

What is the definition of a hyperbola?

Back

A set of points where the difference of the distances to two fixed points (foci) is constant.