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Write the contrapositive of the followin...

Write the contrapositive of the following statements :
(i) if you born in india, then you are a citizen of India.
(ii) If a triangle is equilateral, then it is isosceles.

A

If you are not a citizen of India, then you are not born in India.

B

If you are a citizen of India, then you are born in India.

C

If you are born in India, then you are not a citizen of India.

D

If you are not born in India, then you are not a citizen of India.

Text Solution

Verified by Experts

The correct Answer is:
A
Given statement is "If you are born in India, then you are a citizen of India".
Now, let statement p : you are born in India
and q : you are citizen of India.
Then, given statement, " If you are born in India then you are a citizen of India" is equivalent to `p rArr q.`
`because` The contrapositive of statement `p rArr q " is " ~ q rArr ~p.`
`therefore` The contrapositive of the given statement is "If you are not a citizen of India, then you are not born in India.
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