Pre-Calculus Practice Problem 262

# Pre-Calculus Practice Problem 262 - to the polar axis and 2...

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Unit 8, Activity 4, Polar Equations of Conics with Answers Blackline Masters, Advanced Math – Pre-Calculus Page Louisiana Comprehensive Curriculum, Revised 2008 260 The equations below are those of conics having a focus at the pole. In each problem (a) find the eccentricity; (b) identify the conic; (c) describe the position of the conic; and (d) write an equation of the directrix which corresponds to the focus at the pole. Graph the conic. Verify your answers by graphing the polar conic and the directrix on the same screen. 1. r = 2 1c o s θ a) 1
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Unformatted text preview: to the polar axis and 2 units to the left of the pole (d) rcos θ = -2 graph : 2. r = − 6 3 2cos a) 2/3 b) ellipse c) one of the foci is at the pole and the directrix is perpendicular to the polar axis a distance of 3 units to the left of the pole, the major axis is along the polar axis (d) rcos θ = -3 graph: 3. r = + 5 2 sin a) ½ b) ellipse c) one of the foci is at the pole and the directrix is parallel to the polar axis a distance of 5 units above the polar axis, the major axis is along the pole (d) rsin θ = - 5 graph:...
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