MATH 308 Midterm: MATH 308 2011 Winter Test 1
Document Summary
Be sure this exam has 12 pages including the cover. Rules governing formal examinations: each candidate must be prepared to produce, upon request, a. Page 2 of 12: suppose a conic has two focus points f (4, 0) and f ( 4, 0). (5 pt) (a) Find the equation of the conic if a directrix has the equation x = 9. (5 pt) (b) Find the equation of the conic if the conic has eccentricity e = 2. Find the equation of the tangent line to the parabola x = y2 at the point (1, 1). (5 pt) (b) Classify the conic x2 6xy + 9y2 = 1. Page 4 of 12: the triangle abc has vertices a( 1, 2), b( 3, 1) and c(3, 1), and the points p (1, 1. Determine the ratios in which p , q and r divide the sides of the triangle.
