Really? I don't believe it

Geometry Level 3

\(A\) and \(B\) are two points in \(\mathbb{R}^2\). What is the locus of points such that the ratio of the distances from \(A\) and \(B\) is always \(\lambda:1\), where \(\lambda\) is a positive real number not equal to \(1?\)

Straight line Circle Hyperbola Catenary Nondegenerate parabola Non-circle ellipse Finite set of points None of the above