Solutions

Problem Set #7

Ellipses

1. Sketch each ellipse by the method of intercepts

a) 4x² + 9y² = 36

b) x²/25 + y²/49 = 1

c) x²/81 + y² = 1

d) x²/64 + y²/64 = 1

1. For each ellipse in Problem 1, compute its eccentricity and area

b)

c)

d) a=b=R=8 so e=0 and A = π(64)

1. For each equation below, put it in standard form, identify its center and sketch it

a) x² + 8x + y²/4 +15 = 0

b) 4x² -16x + 9y² + 90y + 205 =0

c) x² -6x + y² -12y = 36