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Two plane mirrors are joined together as shown in figure. Two point objects O1 and O2 are placed symmetrically such that AO1 = AO2. The image of the two objects is common if :

 

a
θ=60o
b
θ=90o
c
θ=30o
d
θ=45o

detailed solution

Correct option is B

Assuming the above condition to be trueAs AB is common and O1B = BIΔOBA and ΔBAI are congruentBy symmetry AI is perpendicular to  O1O2and ∠O1AB=∠BAI∴BAI = 45ºand  ∠BAC=900

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