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Question: Answered & Verified by Expert
The negation of the Boolean expression ~s~rs is equivalent to
MathematicsMathematical ReasoningJEE MainJEE Main 2019 (10 Apr Shift 2)
Options:
  • A r
  • B sr
  • C sr
  • D ~s~r
Solution:
2454 Upvotes Verified Answer
The correct answer is: sr

Negation of given statement is

=~~s~rs

Using De Morgan's law ~AB=~A~B

=~~s~~ r s

Using double negation law ~~A=A, and De Morgan's law

=s~~r~s

=sr~s 

Using distributive law ABC=ABAC

=srs~s

=srF

=sr.

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