An object is placed at a distance of \( 10 \mathrm{~cm} \) from a co-axial combination of two le...

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An object is placed at a distance of \( 10 \mathrm{~cm} \) from a co-axial combination of two lenses \( A \) and \( B \) in contact. The combination forms a real image three times the size of the object. If lens \( B \) is concave with a focal length of \( 30 \mathrm{~cm} \), the nature and focal length of lens \( A \) is [AMU (Med.) 2012]
(a) Convex, \( 12 \mathrm{~cm} \)
(b) Concave, \( 12 \mathrm{~cm} \)
(c) Convex, \( 6 \mathrm{~cm} \)
(d) Convex, \( 18 \mathrm{~cm} \)
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