Verified Solution • 2025–26 Session moderate

QJEEM17Ma7e20: JEE Main 2017 Mathematics - Class 11 JEEM17Ma7e20 Solution: Contrapositive of the statement ‘If two numbers are not equal,…

Contrapositive of the statement

‘If two numbers are not equal, then their squares are not equal’, is :

Multiple Choice Options

  • A If the squares of two numbers are equal, then the numbers are equal.
  • B If the squares of two numbers are equal, then the numbers are not equal.
  • C If the squares of two numbers are not equal, then the numbers are not equal.
  • D If the squares of two numbers are not equal, then the numbers are equal.

Step-by-Step Verified Solution

Let,

p : two numbers are not equal

q : squares of two numbers are not equal

Contrapositive of p → q is ∼q → ∼p.

∴ ∼q → ∼p means "If the squares of two numbers are equal, then the numbers are equal".

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