Question

Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. x^2 + 2y^2 = 2

Answer 1

This is an equation representing the ellipse

Explanation:

• The general equation for an ellipse is $\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1$  so, when you simplify it according to the characteristics of a and b, you would end up in the similar form of the equation given

• where a represents half the length of the major axis and b represents half the length of the minor axis.

• The easiest method to identify, look at whether both the variables are squared, and also the coefficient of x and y should be positive but different.