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  • Two plane mirrors are joined together as shown in the figure. Two point objects O1 and O2 are placed symmetrically such that AO1 = AO2. Th

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

Option: 1 60

Option: 2 90

Option: 3 30

Option: 4 70

Answers (1)

best_answer

                    In the \triangleO,BA and \triangleBAI as shown in figure given below - 

            As, AB is common side, O1B = BI and \angle ABO_1 = \angle ABI =90^o

                                    So,  \triangleO,BA and \triangleBAI are congruent

                                                 So, \angleO1AB = \angleBAI 

                                            

             Since \angle O_1AI =90^o    So, we can say that,    \therefore BAI=45^{\circ}

                                               and \angle BAC=90^{\circ}

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