Question

What type of curve does the equation y² + 40 = x represent in the x-y plane?"

A) A line
B) A parabola
C) A circle
D) An ellipse

Answer 1

The equation represents an ellipse in the x-y plane.

Step-by-step explanation:

The equation y² + 40 = x represents an ellipse in the x-y plane. An ellipse is a closed curve such that the sum of the distances from a point on the curve to the two foci is constant. In the given equation, there is a positive constant value of 40 added to the variable x, indicating an ellipse.