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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. |
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Answer» Correct Answer - 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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