Sony A560 has a Sony/Minolta Alpha lens mount and currently there are 143 native lenses available for this mount.
A560 also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on A560.
Since Sony A560 has a APS-C sensor, it has a focal length multiplier of 1.5× so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on A560.
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Sony A560 Lenses with Image Stabilization
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