Question

Identify the type of conic section for the equation.

2x² – y² = 7

Answer 1

Comparing this equation with the general equation of the conic

Ax² + Bxy + Cy² + Dx + Ey + F = 0

We get A = 2, C = – 1

Elere A ≠ C also A and C are of opposite signs.

So the conic is a hyperbola.