k के किस मान के लिए 2, 3 + k और 6 समांतर श्रेढ़ी में हैं?

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ALP CBT 2 Physics and Maths Previous Paper 1 (Held On: 21 Jan 2019 Shift 1)
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  1. 4
  2. 3
  3. 1
  4. 2

Answer (Detailed Solution Below)

Option 3 : 1
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दिया गया है:

k के मान के लिए 2, 3 + k और 6 समांतर श्रेढ़ी में हैं। 

अवधारणा:

समांतर श्रेढ़ी के अनुसार, a2 - a= a3 - a

जहाँ a1, a2, a समांतर श्रेणी में प्रथम, द्वितीय और तृतीय पद हैं। 

गणना:

यहाँ a1 = 2, a= k + 3, a3 = 6 समांतर श्रेढ़ी की क्रमागत संख्याएँ हैं।

समांतर श्रेढ़ी के अनुसार, a2 - a= a3 - a

(k + 3) – 2 = 6 – (k + 3)

⇒ k + 3 - 8 + k + 3 = 0

⇒ 2k = 2

हल करने पर, हमें प्राप्त होता है k = 1

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