MHT CET 2023 Mathematics question

Not in JEE syllabus

Let Statement 1: If a quadrilateral is a square, then all of its sides are equal Statement 2: All the sides of a quadrilateral are equal, then it is a square

(A)Statement 2 is contrapositive of statement 1.
(B)Statement 2 is negation of statement 1
(C)Statement 2 is inverse of statement 1
(D)Statement 2 is the converse of statement 1Correct

Answer: (D)

Solution

Let : "the quadrilateral is a square" and : "all sides of the quadrilateral are equal". Statement 1 is . Statement 2 is "if all sides are equal then it is a square", i.e. . For a conditional : the converse is , the inverse is , and the contrapositive is $

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Question ID VK-097334