Question

The equation x² + yx² + x + y = 0 represents

Options

• A parabola and two straight lines

• A hyperbola and two straight lines

• A circle and a straight line

• A straight line

Answer 1

A straight line

Explanation:

Let the equation x³ + yx² + x + y = 0

⇒ (x + y)x² + 1(x + y) = 0

⇒ (x + y) (x² + 1) = 0  ......[∵ x² + 1 > 0]

⇒ x + y = 0 be a straight line.