Contrapositive of the statement ''If two numbers are not equal, then their squares are not equal.'' is:

  • Option 1)

    If the squares of two numbers are equal, then the numbers are equal.

  • Option 2)

    If the squares of two numbers are not equal, then the numbers are not equal.

  • Option 3)

    If the squares of two numbers are equal, then the numbers are not equal.

  • Option 4)

    If the squares of two numbers are not equal, then the numbers are equal.

Answers (1)
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Negation -

An Assertion that a statement fails or denial of a statement.

- wherein

P: Delhi is in India 

\simP: Delhi is not in India

Contrapositive of p\rightarrow q  is  \sim p\rightarrow\: \: \sim q

 

 

Proving by Contradition -

When given a statement p is true, we assume that p is not true i.e. ~ p is true.

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Option 1)

If the squares of two numbers are equal, then the numbers are equal.

Option 2)

If the squares of two numbers are not equal, then the numbers are not equal.

Option 3)

If the squares of two numbers are equal, then the numbers are not equal.

Option 4)

If the squares of two numbers are not equal, then the numbers are equal.

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