Maharashtra State BoardHSC Arts 12th Board Exam
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Write the truth value of the following statement: In ΔABC if all sides are equal then its all angles are equal. - Mathematics and Statistics

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Sum

Write the truth value of the following statement:

In ΔABC if all sides are equal then its all angles are equal.

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Solution

Let p: ABC is a triangle and all its sides are equal.
      q: It's all angles are equal.
Then the symbolic form of the given statement is p→q.
If the truth value of p is T, then the truth value of q is T.
∴ The truth value of p→q is T ........[T→T ≡ T].

Concept: Truth Value of Statement
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 3.5 | Page 33

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