Maths Mathematical Logic and Boolean Algebra ( Not In Syllabus ) JEE Main 2023 - ( Mathematical Reasoning ) Single Correct MCQ
Published on: August 13, 2026

The negation of is equivalent to

A
P (-q)
B
p q
C
D

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Text Solution

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The correct answer is:
B

The given statement is

Let us take (A B C ) (A C ).

Now let us apply distributive law to the above statement.

=(A A c ) (B c A c )

=(U) (B C A c )

=(B C A C )

Now the given statement will be equivalent to or

Hence the given statement is equivalent to ~p ~q,

Now negation of given statement by demorgan's law will be,

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