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Contra-Positive

The contrapos...

Question

The contrapositive of the statement ''If you will be in Bangalore, then I will come to meet you'', is

A

If I will come to meet you, then you will be in Bangalore

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B

If I will not come to meet you, then you will not be in Bangalore

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C

If you will be in Bangalore, then I will not come to meet you

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D

If you will not be in Bangalore, then I will not come to meet you

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Solution

The correct option is B If I will not come to meet you, then you will not be in Bangalore
Let $p :$ You will be in Bangalore.
$q :$ I will come to meet you.
The given statement is $p \to q$
Contrapositive of $p \to q$ is $\sim q \to\sim p$
Hence, contrapositive of the given statement is
''If I will not come to meet you, then you will not be in Bangalore''

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Contra-Positive

Standard XII Mathematics

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