Q. 135.0( 1 Vote )
Given statements in (a) and (b).
Identify the statements given below as contra positive or converse of each other.
(i) If you live in Delhi, then you have winter clothes.
(ii) If you do not have winter clothes, then you do not live in Delhi.
(i) If a quadrilateral is a parallelogram, then its diagonals bisect each other.
(ii) If the diagonals of a quadrilateral do not bisect each other, then the
quadrilateral is not a parallelogram.
(a) (i) Contra positive statement
(b) (i) Contra positive statement
(ii) Converse statement.
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PREVIOUS Write each of the following statements in the form of "if-then" (i) You get a job implies that your credentials are good. (ii) The Banana tree will bloom if it stays warm for a month. (iii) A quadrilateral is a parallelogram if its diagonals bisect each other. (iv) To get an A+ in the class, it is necessary that you do all the exercises of the book. NEXT Show that the statement p: "If x is a real number such that x3 + 4x = 0, then x is 0" is true by (i) Direct method. (ii) Method of contradiction. (iii) Method of contra positive.
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