Give the equation in polar coordinates of a conic section with a focus at the origin, eccentricity e, and a directrix x = d, where d > 0.

Solution 10EStep 1:In this problem we need to give the equation of a conic section in polar coordinates with a focus at the origin, eccentricity e, and a directrix x = d, where d > 0.To obtain a polar equation for a conic section, we position the pole at the conic’s focus and the polar axis along the focal axis with the directrix to the right of the pole. We call the distance from the focus to the directrix as d .From the figure, We know that eccentricity Put we get,Solve for r:Hence the equation in polar coordinates of a conic section with a focus at the origin, eccentricity e, and a directrix x = d, where d > 0 is