analytic geometry

1. Given the parabola defined by y^2 =-12x, find the coordinates of the focus,the length of the latus rectum and the coordinates of its endpoints.Find also the equation of the directrix. Sketch the curve.
2. Find the eccentricity of an ellipse when the length of the latus rectum is 2/3 of the major axis.
3. Plot the curve
x = 3-cos they a, y= 2+sin theta

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