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Q. A boy stands straight in front of a mirror at a distance of $30 \,cm$ from it. He sees his erect image whose height is $\frac {1}{5}$ of his real height. The mirror he is using, is

AMUAMU 2007

Solution:

Both concave and convex mirror give virtual image but a concave mirror gives a magnified virtual image (when object is placed between $F$ and $P$). Since, the boy sees his image of diminished size, so the mirror must be convex.