Statement I: A concave lens diverges light and does not have a centre of curvature for image formation in the context of lens theory. The centre of curvature is a concept applicable to mirrors, not lenses. Hence, Statement I is false.
Statement II: A concave lens always forms a virtual, erect, and diminished image irrespective of the position of the object. This is a fundamental property of concave lenses. Hence, Statement II is true.
Final Answer: (1) Statement I is false but Statement II is true.