Describe the Intersection of the Graphs of Y = X

Multiple Choice

Describe the intersection of the graphs of y = x and y² + z² = 9.

A) the ellipse in which the vertical plane containing the z-axis and the point (1, 1, 0) intersects the horizontal circular cylinder of radius 3 with central axis along the x-axis
B) the circle in which the vertical plane containing the z-axis and the point (1, 1, 0) intersects the horizontal circular cylinder of radius 3 with central axis along the x-axis
C) the hyperbola in which the vertical plane containing the z-axis and the point (1, 1, 0) intersects the horizontal circular cylinder of radius 3 with central axis along the x-axis
D) the parabola in which the vertical plane containing the z-axis and the point (1, 1, 0) intersects the horizontal circular cylinder of radius 3 with central axis along the x-axis
E) the ellipse in which the vertical plane containing the z-axis and the point (1, 1, 0) intersects the horizontal circular cylinder of radius 3 with central axis along the y-axis