x-এর কোন সম্ভাব্য মানের জন্য - 2/7, x, - 7/2 সংখ্যাগুলি একটি গুণোত্তর প্রগতিতে রয়েছে?

  1. - 1
  2. 1
  3. 1 এবং 2 উভয়ই
  4. কোনোটিই নয়

Answer (Detailed Solution Below)

Option 3 : 1 এবং 2 উভয়ই
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Detailed Solution

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অনুসৃত ধারণা :

যদি a, b এবং c গুণোত্তর প্রগতিতে থাকে তাহলে b2 = ac

গণনা :

প্রদত্ত: - 2/7, x, - 7/2 সংখ্যাগুলি গুণোত্তর প্রগতিতে রয়েছে।

আমরা জানি যে, যদি a, b এবং c গুণোত্তর প্রগতিতে থাকে তাহলে b2 = ac

এখানে, a = - 2/7, b = x এবং c = - 7/2

⇒ x2 = (-2/7) × (-7/2) = 1

⇒ x = ± 1

সুতরাং, সঠিক বিকল্প হল 3

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