माना कि x > 1, y > 1, z > 1 गुणोत्तर श्रेणी (GP) में हैं। तब हैं

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. समांतर श्रेढ़ी में
  2. गुणोत्तर श्रेढ़ी में
  3. हरात्मक श्रेढ़ी में
  4. न तो समांतर श्रेढ़ी में, न ही गुणोत्तर श्रेढ़ी में और न ही हरात्मक श्रेढ़ी में

Answer (Detailed Solution Below)

Option 3 : हरात्मक श्रेढ़ी में
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व्याख्या:

दिया गया है,

x, y, z गुणोत्तर श्रेढ़ी (GP) में हैं

इस प्रकार,

⇒ y2 = xz

lnx, ln y और lnz समांतर श्रेढ़ी (AP) में हैं। 

⇒ (1 + lnx), (1 + lny) और (1 + lnz) समांतर श्रेढ़ी (AP) में हैं। 

हरात्मक श्रेढ़ी (HP) में हैं। 

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