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Question

A plane mirror is inclined at an angle of 45 with the horizontal and having one of its end at the origin(O) as shown in figure. An object is kept at x=2 cm. The position coordinates of the image of P will be


A
(+2,0) cm
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B
(0,+2) cm
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C
(0,0) cm
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D
(0,2) cm
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Solution

The correct option is D (0,2) cm
The plane mirror obeys
[Object distance = image distance]
This holds along the normal to plane mirror.


In ΔPON
PON=45
sin45=PNOP
PN=OP×12=22=2 cm
Hence, PN=NP=2 cm
Again in ΔONP
NOP=45,NPO=9045=45
ON=NP (ΔONP is isosceles triangle)
Therefore,
OP=ON2+NP2
OP=(2)2+(2)2=4=2 cm
Coordinates of image P is,
x=0,y=2 cm
(0,2) cm
Hence, option (d) is the correct answer.

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