Given below are two statements. One is labelled as Assertion and the other is labelled as…
Mathematics · JEE Main · NTA Exams — Progression and Series
Given below are two statements. One is labelled as Assertion and the other is labelled as Reason.
STATEMENT - 1 (Assertion): The number \(\sqrt{2}, \sqrt{3}, \sqrt{5}\) can not be the terms of a single AP with non-zero common difference.
STATEMENT - 2 (Reason): If \(p, q, r(p \neq q)\) are terms (not necessarily consecutive) of an AP, then there exists a rational number k such that \((r-q) /(q-p)=k\)
In the light of the above statements, choose the correct answer from the options given below:
- Both Assertion and Reason are true and Reason is the correct explanation of Assertion
- Both assertion and Reason are true but Reason is not the correct explanation of Assertion
- Assertion is true and Reason is false
- Assertion is false and Reason is true
Answer
(A) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
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