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Given statements in (a) and (b). Identif...

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other.
(a) If you live in Delhi, then you have winter clothes.           
(i)   If you do not have winter clothes, then you do not live in Delhi.          
  (ii)  If you have winter clothes, then you live in Delhi.

(b)If a quadrilateral is a parallelogram, then its diagonals bisect each other.       
     (i)   If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram.       
     (ii)  If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Text Solution

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(a) (i) This is the contrapositive of the given statement (a)
(ii) This is the converse of the given statement (a)
(b) (i) This is the contapositive of the given statement (b)
(ii) This is the converse of the given statement (b)
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Some statements are given in (a) and (b) identify the statements given below as contrapositive or converse of each other. (a) if you live in Delhi,then you have winter clothes. (i) if you do not have winter clothes, then you do not live in Delhi. (ii) if you do not have winter clothes, then you do not live in delhi. (b) if a quadrilateral is a parallelogram, then its diagonals biset each other. (i) if the diagonals of a quadrilateral do not biset each other, then the quadrilateral is not a parallelogram. (ii) if the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

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Knowledge Check

  • If you do not vote, you do not have the right to protest.

    A
    right in protest
    B
    right on protest
    C
    right for protest
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