Question
Download Solution PDFमान लीजिए a, b, c समांतर श्रेणी में हैं, तो 1/ab, 1/ca और 1/bc किसमें हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
यदि a,b, c समांतर श्रेणी में हैं, तो 2b = a + c या b - a = c - b है।
गणना:
दिया गया है: a, b, c समांतर श्रेणी में हैं
माना कि 1/ab, 1/ca और 1/bc समांतर श्रेणी में हैं।
⇒
⇒ b - c = a - b
⇒2b = a + c
⇒ a,b, c समांतर श्रेणी में हैं, जो सत्य है।
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