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A convex lens of focal length 20 cm can produce a magnified virtual as well as real image. Is this a correct statement? If yes, where shall the object be placed in each case for obtaining these images?

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Yes the above statement is correct. 

A magnified virtual image can be obtained when the object is placed between optical centre and principal focus of the lens means the object is placed at distance less than 20 cm from the centre of the lens. Figure below illustrates it. 

Real image of various sizes can be obtained when the object is placed beyond the principal focus.

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