Assertion : If three positive numbers in G.P. represent sides of a triangle, then the…
Mathematics · JEE Advanced · NTA Exams — Progression and Series
Assertion : If three positive numbers in G.P. represent sides of a triangle, then the common ratio of the G.P. must lie between \(\frac{\sqrt{5}-1}{2} \text { and } \frac{\sqrt{5}+1}{2} \text {. }\)
Reason : Three positive real numbers can form sides of a triangle if sum of any two is greater than the third.
Reason : Three positive real numbers can form sides of a triangle if sum of any two is greater than the third.
- 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
(A) If both assertion and reason are correct and reason is the correct explanation of assertion.
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