Mathematics | MHT CET 2020 | Discussion Page

The symbolic form of the following circuit is (where p,q represents switches S₁ and S₂ closed respectively )

A) $(p\wedge q)\wedge (\sim p\wedge \sim q)=l$

B) $(p\wedge [q\wedge (\sim p\wedge \sim q)=l$

C) $(p\vee q)\vee (\sim p\wedge \sim q)=l$

D) $(p\vee [q\wedge (\sim p\wedge \sim q)=l$

Option C

Here , p,q represents switches S₁ and S₂ closed respectively,

here, S₁, S₂ , (S₁' and S₂' ) are in parallel

and S₁' and S₂' are series

$\therefore$ l= $(p\vee q)\vee (\sim p\wedge \sim q)$

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