[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{The Correct position of images from the} [/tex][tex] \textbf{mirror after refraction will be } [/tex]~
[tex] \textrm{Convex lens is shown at the center on the }[/tex][tex] \textrm{principal axis.} [/tex]
[tex] \\ \\ [/tex]
[tex] \textsf{1. The object is positioned to the left of the lens at f} [/tex]
[tex] \textbf{Correct choice is D. No image} [/tex]
[tex] \texttt{[ because rays meet at infinity ]} [/tex]
[tex] \\ \\ [/tex]
[tex] \textsf{2. The object is at the left of the lens between f and 2 f.} [/tex]
[tex] \textbf{Correct choice is C. beyond 2f} [/tex]
[tex] \texttt{[ because rays meet beyond 2f, and} [/tex][tex] \texttt{image is larger than object]} [/tex]
[tex] \\ \\ [/tex]
[tex] \textsf{3. The object is positioned to the left of the lens beyond 2 f} [/tex]
[tex] \textbf{Correct choice is A. between f and 2f } [/tex]
[tex] \texttt{[ because rays meet between f and 2f} [/tex][tex] \texttt{and image is larger than object]} [/tex]
[tex] \\ \\ [/tex]
[tex] \textsf{4. The object is positioned to the left of the lens at 2 f} [/tex]
[tex] \textbf{Correct choice is B. At 2f } [/tex]
[tex] \texttt{[ because rays meet at 2f, and} [/tex][tex] \texttt{image is of same Size as object]} [/tex]