Maharashtra State BoardHSC Commerce 12th Board Exam
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Write the negation of the following. An angle is a right angle if and only if it is of measure 90°. - Mathematics and Statistics

Sum

Write the negation of the following.

An angle is a right angle if and only if it is of measure 90°.

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Solution

Let p : An angle is a right angle.
q : An angle is of measure 90°.

The given statement is p ↔ q.

Its negation is ~(p ↔ q) ≡ (p ∧ ~ q) ∨ (q ∧ ~ p)

∴ The negation of the given statement is ‘An angle is a right angle and it is not of measure 90° or an angle is of measure 90° and it is not a right angle.’

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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.1 | Page 32
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