Assertion : There exists an A.P. whose three terms are 2 , 3 , 5 . Reason : There exists…
Mathematics · JEE Advanced · NTA Exams — Progression and Series
Assertion : There exists an A.P. whose three terms are \(\sqrt{2}, \sqrt{3}, \sqrt{5} .\)
Reason : There exists distinct real numbers p, q, r satisfying
\(\sqrt{2}\) = A + (p – 1) d, \(\sqrt{3}\) = A + (q – 1) d,
\(\sqrt{5}\) = A + (r – 1) d.
Reason : There exists distinct real numbers p, q, r satisfying
\(\sqrt{2}\) = A + (p – 1) d, \(\sqrt{3}\) = A + (q – 1) d,
\(\sqrt{5}\) = A + (r – 1) d.
- If both assertion and reason are correct and reason is the correct explanation of assertion.
- If both assertion and reason are true but and reason is not the correct explanation of assertion.
- If assertion is true but reason is false.
- If assertion is false but reason is true.
Answer
(D) If assertion is false but reason is true.
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