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Q. A short straight object of height $100 \,cm$ lies before the central axis of a spherical mirror whose focal length has absolute value $| f |=40 \,cm .$ The image of object produced by the mirror is of height $25 \,cm$ and has the same orientation of the object. One may conclude from the information :

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Solution:

Since orientation is same image is virtual. Since image is smaller the mirror has to be convex