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Assertion (A): π is irrational and [\frac{22}{7}] is rational. Reason (R): [\pi \neq \frac{22}{7}]

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प्रश्न

Assertion (A): π is irrational and \[\frac{22}{7}\] is rational.

Reason (R): \[\pi \neq \frac{22}{7}\]

विकल्प

  • Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

  • Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

  • Assertion (A) is true and Reason (R) is false.

  • Assertion (A) is false and Reason (R) is true.

MCQ
अभिकथन और तर्क
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उत्तर

Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

Explanation:

Step 1 – Assertion: A is true. π is irrational, while \[\frac{22}{7}\] is rational because it is a ratio of integers.

Step 2 – Reason: R is true. π is not equal to \[\frac{22}{7}\].

Step 3 – Link: The inequality alone does not establish that π is irrational or that \[\frac{22}{7}\] is rational, so R does not correctly explain A.

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अध्याय 20: Additional Questions - Real Numbers [पृष्ठ ९६६]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 20 Additional Questions
Real Numbers | Q 7. | पृष्ठ ९६६
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