All of the following statements are correct except:

  • A
    The magnification produced by a convex mirror is always less than one.
  • B
    $A$ virtual,erect,same-sized image can be obtained using a plane mirror.
  • C
    $A$ virtual,erect,magnified image can be formed using a concave mirror.
  • D
    $A$ real,inverted,same-sized image can be formed using a convex mirror.

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$A$ convex mirror of radius of curvature $30 \,cm$ forms an image that is half the size of the object. The object distance is: (in $\,cm$)

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In the figure shown,the image of a real object $O$ is formed at point $I$. $AB$ is the principal axis of the mirror. The mirror must be:

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