Question

(b) symmetry: x - axis y - axis origin none of these

Explanation:

Step1: Recall circle symmetry properties

A circle centered at the origin has symmetry about the x - axis, y - axis and the origin. But we need to check the center of this circle.

Step2: Observe the circle's position

From the graph, the circle is not centered at the origin. A non - origin centered circle still has symmetry about the x - axis if its center lies on the x - axis, about the y - axis if its center lies on the y - axis, and about the origin if it is centered at the origin. Here, the circle is neither centered on the x - axis, y - axis nor the origin.

Answer:

none of these