3. Two mirrors PQ and RS are kept parallel to each other, a ray AB is incident on PQ
at B and gets reflected along BC, point C is on RS and back reflected along CD.
Prove that AB is parallel to CD.
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From laws of refection ∠1=∠2and∠3=∠4 (IMAGE)
So, ∠1=∠2=21∠ABCand∠3=∠4=21∠BCD
Here BM and CN are Normal
So BM⊥PQandCN⊥RS
put,PQ∥RS
So, BM∥CN
Now BM∥CN, and BC is transversal
⇒∠2=∠3
⇒21∠ABC=21∠DCB
⇒∠ABC=∠BCD
AB∥CD as it transversal BC
Intersect two lines such that pair of interior angle is equal then lines are parallel.
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