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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Select the correct answer from the given alternatives. If the coefficient of x2 and x3 in the expansion of (3 + ax)9 are the same, then the value of a is - Mathematics and Statistics

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प्रश्न

Select the correct answer from the given alternatives.

If the coefficient of x2 and x3 in the expansion of (3 + ax)9 are the same, then the value of a is

पर्याय

  • `-7/9`

  • `-9/7`

  • `7/9`

  • `9/7`

MCQ

उत्तर

`9/7`

Explanation;

tr+1= 9Cr(3)9–r(ax)r = 9Cr39–rarxr

9C2 × 37 × a2 = 9C3 × 36 × a3

∴ `(9!)/(2!7!) xx 3 = (9!)/(3!6!) xx "a"`

∴ a = `9/7`

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Middle term(s) in the expansion of (a + b)n
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Methods of Induction and Binomial Theorem - Miscellaneous Exercise 4.1 [पृष्ठ ८५]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 4 Methods of Induction and Binomial Theorem
Miscellaneous Exercise 4.1 | Q I. (10) | पृष्ठ ८५
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