A converging lens of focal length $f_{1}$ is placed in front of and coaxially with a convex mirror of focal length $f_{2}$ . Their separation is $d$ . A parallel beam of light incident on the lens return as a parallel beam from the arrangement. Select the correct statement(s).

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$d = f_{1} - | f_{2} |$

$d = f_{1} - 2 | f_{2} |$

If the entire arrangement is immersed in water, the conditions will remain unaltered.

The beam diameters of the incident and reflected beams must be the same

answer is A, B.

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Hence $(1)$ and $(2)$ are correct.

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