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Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”

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प्रश्न

Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”

योग
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उत्तर

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 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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अध्याय 1.1: Mathematical Logic - Q.4

वीडियो ट्यूटोरियलVIEW ALL [2]

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