जर N +  = √3, तर N6 +  + 11 चे मूल्य शोधा.

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 15 March, 2023 Shift 1)
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  1. -11
  2. -2
  3. 11
  4. 9

Answer (Detailed Solution Below)

Option 4 : 9
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SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

Detailed Solution

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दिलेले आहे:

N + 1/N = √3

सूत्र:

जर x + 1/x = a, तर x3 + 1/x3 = a3 - 3a

गणना:

N3 + 1/N= (√3)3 - 3 × √3

⇒ N3 + 1/N= 0

आता दोन्ही बाजूंचा वर्ग करूया

(N3 + 1/N3)2= 0

N6 + 1/N6 + 2 = 0

N6 + 1/N6  = -2

दोन्ही बाजूंमध्ये 11 मिळवूया:

N6 + 1/N6 + 11 = -2 + 11

N6 + 1/N6 + 11 = 9

∴ आवश्यक उत्तर = 9

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