True or false. 1. A conic section with equation (x-h)2/a2 - (y-k)2/b2 = 1, we have c ≥ a. 2. If f and g are conic sections, then the intersection of f and g are less than or equal to 4 points. 3. The directrix is part of a parabola.

True or false. 1. A conic section with equation (x-h)2/a2 - (y-k)2/b2 = 1, we have c ≥ a. 2. If f and g are conic sections, then the intersection of f and g are less than or equal to 4 points. 3. The directrix is part of a parabola.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 46E

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Question

True or false.

1. A conic section with equation (x-h)²/a² - (y-k)²/b² = 1, we have c ≥ a.

2. If f and g are conic sections, then the intersection of f and g are less than or equal to 4 points.

3. The directrix is part of a parabola.

Curve that is obtained by the intersection of the surface of a cone with a plane. The three types of conic sections are parabolas, ellipses, and hyperbolas. The main features of conic sections are focus, eccentricity, and directrix. The other parameters are principal axis, linear eccentricity, latus rectum, focal parameter, and major and minor axis.

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