Question 1
Find the Cartesian coordinates of points of intersection of the plane parametric curves

,

and x = u
2, y = -u - 1.
Question 2
A plane curve C is given parametrically by x = tan(t) - 2, y = sec(t), t ∈ (-

,

).
Find the Cartesian equation of the curve C.
◦ y
2 - x
2 = 5, -1 ≤ y ≤ 1
◦ (x + 2)
2 - y
2 = 1, y ≥ 1
◦ y
2 - (x + 2)
2 = 1, y ≥ 1
◦ y
2 - (x + 2)
2 = 1, y ≤ - 1
◦ y
2 + (x + 2)
2 = 1, - ∞ < y < ∞