Question 1
Find a single equation in x and y that represents the parametric curve x = 4t +
, y = 2t -
.
◦ y
2 - 4x
2 = 16
◦ x
2 + 4y
2 = 16
◦ x
2 - 4y
2 = 16
◦ 4x
2 - y
2 = 16
◦ 4x
2 + y
2 = 16
Question 2
Describe the curve x = 3 - cos(t), y = -2 + 2 sin(t).
◦ ellipse, centre (3, -2) with major axis along the line x = 3
◦ ellipse, centre (3, -2) with major axis along the line y = -2
◦ hyperbola, centre (3, -2) with transverse axis along the line x = -3
◦ ellipse, centre (-3, 2) with major axis along the line x = -3
◦ hyperbola, centre (3, -2) with transverse axis along the line x = 3