JEE Main 2020MathematicsMathematical ReasoningEasyMCQ

JEE Main 2020 — Mathematical Reasoning Question with Solution

JEE Main 2020 (05 Sep Shift 1)

Question

The negation of the Boolean expression x↔~y is equivalent to:

Choose an option

Show full solutionCorrect option: B
Correct answer
B(x∧y)∨(~x∧~y)

Step-by-step explanation

Negation of x↔~y

≡~x↔~y

≡~x→~y∧~y→x

≡~x→~y∨~~y→x (using De'Morgan's laws)

≡x∧y∨~y∧~x

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About this question

This is a previous-year question from JEE Main 2020, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.