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Negation of the statement "If ABC is isosceles then the base angle's A and B are equal" , is
  1. ABC is isosceles and the base angles A and B are not equal.
  2. ABC is not isosceles and the base angles A and B are not equal.
  3. ABC is not isosceles and the base angles A and B are equal.
  4. ABC is not isosceles or the base angles A and B are not equal.


Solution

The correct option is A ABC is isosceles and the base angles A and B are not equal.
Let, p: ABC is isosceles
q: the base angle A and B are equal

We know that, (pq)=p q

Hence, negation of the given statement is:
ABC is isosceles and the base angles A and B are not equal.

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