GRE Exam Numerical Ability Geometry

Which of the following circles has the greatest number of points of intersection with the parabola x^2 = y + 4
(A) x^2 + y^2 = 1
(B) x^2 + y^2 = 2
(C) x^2 + y ^2 = 9
(D) x^2 + y^2 = 16
(E) x^2 + y^2 = 25

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GRE Other Question

Let k be the number of real solutions of the equation e^x + x - 2 = 0, in interval (0, 1), and let n be the number of real solution that are not in (0, 1). Which of the following is true.
(A) k = 0 and n = 1
(B) k = 1 and n = 0
(C) k = 1 = n
(D) k > 1
(E) n > 1
What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other two vertices on the circle?
(A) 1/2
(B) 1
(C) Sqrt 2
(D) Pi
(E) (1 + Sqrt 2)/4