Question

(i) All birds sing. (ii) Some even integers are prime. (iii) There is a complex number which is not a real number. (iv) I will not go to school. (v) Both the diagonals of a rectangle have the same length. (vi) All policemen are thieves.

Solution

The negation of the statements  All birds sing. is     Some birds do not sing                                 or  At least one bird do not sing                                 or There exists a bird which does not sing.  The negation of the statements    Some even integers is prime. is   No even integers is prime.   The negation of the statements    There is a complex number which is not a real number. is   All complex numbers are real numbers.   The negation of the statements     I wish not go to school is    I wish go to school The negation of the statements  Both the diagonals of a rectangle have the same length. is There is at least one rectangle whose both diagonals do not have the same length. The negation of the statements  All policemen are thieves. is No policemen is theif.MathematicsRD SharmaStandard XI

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