A plane mirror hanging on one of the wall of a room. The opposite wall of height 'H' at distance ' D' from this mirror there is a person at distance 'd' in front of mirror, want to see complete image of opposite wall in mirror. Then minimum length of mirror required:
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a
H2
b
HdD+d
c
HDd+D
d
D+dH
answer is B.
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Detailed Solution
minimum length of mirror required= ABΔPAB~△PCDABd=CDd+D⇒ABd=Hd+D⇒AB=dHd+D