Question

Consider the curve given by x² - 4y² = 7. What is the name of the curve?

A) Hyperbola
B) Parabola
C) Ellipse
D) Circle

Answer 1

The curve given by x² - 4y² = 7 is an ellipse, which is a closed curve where the sum of the distances from the foci to any point on the curve is constant.

Step-by-step explanation:

The curve given by x² - 4y² = 7 is an ellipse. An ellipse is a closed curve wherein the sum of the distances from the foci to any point on the curve is constant. The equation x² - 4y² = 7 represents an ellipse because it satisfies this property.