Q2 of 134 Page 32

Both the diagonals of a rectangle have the same length.

Negation of statement p is "not p." The negation of p is symbolized by "~p." The truth value of ~p is the opposite of the truth value of p.

So, The negation of the statement is “There is at least one rectangle whose both diagonals do not have the same length.”


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There is a complex number which is not a real number.

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All policemen are thieves.

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Are the following pairs of statements are a negation of each other:

(i) The number x is not a rational number.


The number x is not an irrational number.


(ii) The number x is not a rational number.


The number x is an irrational number.