x के किन संभावित मान के लिए संख्याएँ - 2/7, x, - 7/2 गुणोत्तर श्रेणी में हैं?

  1. - 1
  2. 1
  3. 1 और 2 दोनों
  4. इनमें से कोई नहीं

Answer (Detailed Solution Below)

Option 3 : 1 और 2 दोनों
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Detailed Solution

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अवधारणा :

यदि a, b और c गुणोत्तर श्रेणी में हैं तो b2 = ac

गणना:

दिया गया है: संख्याएँ - 2/7, x, - 7/2 गुणोत्तर श्रेणी में हैं

जैसा कि हम जानते हैं कि, यदि a, b और c गुणोत्तर श्रेणी में हैं तो b2 = ac

यहाँ, a = - 2/7, b = x और c = - 7/2

⇒ x2 = (-2/7) × (-7/2) = 1

⇒ x = ± 1

अत: सही विकल्प 3 है।

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