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Question

A plane mirror is placed 24.5 cm in front of a concave mirror of focal length 10 cm. Find where an object can be placed between two mirrors so that the first image of both mirrors coincides.

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Solution

υ=[24.5+24.5x]

=[49x]

u=x[objectdistance]

1(49x)+1x=110

4949xx2=110

x249x+450=0

(x35)(x14)=0

x=35,14cm

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