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An object is placed at an of 45 cm from a converging lens of focal length 30 cm . A mirror of radius of curvature 40 cm is to be placed on other side of lens so that the object coincides with its image. Find the distance of mirror from lens if mirror is convex.

$(a)\;20\;cm \\ (b)\;30\;cm \\ (c)\;50\;cm \\ (d)\;40\;cm $

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