An object is placed in front of a convex mirror at a distance of \( 50 \mathrm{~cm} \). A plane ...

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An object is placed in front of a convex mirror at a distance of \( 50 \mathrm{~cm} \). A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is \( 30 \mathrm{~cm} \), it is found that there is no parallax between the images formed by the two mirrors. What is the radius of curvature of the convex mirror?
(A) \( 25 \mathrm{~cm} \)
(B) \( 18 \mathrm{~cm} \)
(C) \( 7 \mathrm{~cm} \)
(D) \( 27 \mathrm{~cm} \)
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