If there are mirrors on the ceiling and two a | vedclass

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(C) Let the person be at point $O$. The two adjacent walls and the ceiling act as three mutually perpendicular mirrors.For two mirrors at an angle of

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(C) Let the person be at point $O$. The two adjacent walls and the ceiling act as three mutually perpendicular mirrors.For two mirrors at an angle of $90^{\circ}$,the number of images formed is $n = \frac{360^{\circ}}{90^{\circ}} - 1 = 4 - 1 = 3$.When three mutually perpendicular mirrors are present,the total number of images formed is given by the formula $N = 2^n - 1$,where $n$ is the number of mirrors.Here,$n = 3$,so $N = 2^3 - 1 = 8 - 1 = 7$.Alternatively,as shown in the diagram,the two walls form $3$ images,and the ceiling forms $4$ images (including the reflection of the wall images),resulting in a total of $7$ images.

If there are mirrors on the ceiling and two adjacent walls of a room,how many images of a person in the room will be visible?

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