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Byju's Answer

Standard XII

Mathematics

Implication

Negation of "...

Question

Negation of "Ram is in class $X$ or Rashmi is in class $X I I$ " is

Ram is not in class

X

but Rashmi is in class

X I I

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Ram is not in class

X

and Rashmi is not in class

X I I

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Either Ram is not in class

X

or Rashmi is not in class

X I I

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None of the above

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Solution

The correct option is B Ram is not in class $X$ and Rashmi is not in class $X I I$
Let $p :$ Ram is in class $X$

$q :$ Rashmi is in class $X I I$

Given proposition is $p \lor q$

Its negation is $\sim (p \lor q) = - p \land \sim q$ , Ram is not in class $X$ and Rashmi is not in class $X I I$

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Q. Six students A,B,C,D,E,F study in 6 different classes in a school. The classes are from class 5, class 6, class 7, class 8, class 9, class 10. The order of students and their classes is random.it is also known that:
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Negation of "Ram is in class X or Rashmi is in class XII" is

The correct option is B Ram is not in class X and Rashmi is not in class XIILet p: Ram is in class Xq: Rashmi is in class XIIGiven proposition is p∨qIts negation is ∼(p∨q)=−p∧∼q, Ram is not in class X and Rashmi is not in class XII

Negation of "Ram is in class $X$ or Rashmi is in class $X I I$ " is

The correct option is B Ram is not in class $X$ and Rashmi is not in class $X I I$
Let $p :$ Ram is in class $X$

$q :$ Rashmi is in class $X I I$

Given proposition is $p \lor q$

Its negation is $\sim (p \lor q) = - p \land \sim q$ , Ram is not in class $X$ and Rashmi is not in class $X I I$