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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Write the converse, inverse, and contrapositive of the following implication. If x and y are numbers such that x = y, then x2 = y2 - Mathematics

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Question

Write the converse, inverse, and contrapositive of the following implication.

If x and y are numbers such that x = y, then x2 = y2

Sum
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Solution

Converse: If x and y are numbers such that x2 = y2 then x = y.

Inverse: If x and y are numbers such that x ≠ y then x2 ≠ y2.

Contrapositive: If x and v are numbers such that x2 ≠ y2 then x ≠ y.

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Mathematical Logic
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Chapter 12: Discrete Mathematics - Exercise 12.2 [Page 248]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 12 Discrete Mathematics
Exercise 12.2 | Q 5. (i) | Page 248

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