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The Total Number of Terms in the Expansion of ( X + a ) 100 + ( X − a ) 100 After Simplification is (A) 202 (B) 51 (C) 50 (D) None of These

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प्रश्न

The total number of terms in the expansion of \[\left( x + a \right)^{100} + \left( x - a \right)^{100}\]  after simplification is

 

विकल्प

  • 202

  • 51

  •  50

  •  none of these

     
MCQ
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उत्तर

 51
Here, n, i.e., 100, is even.
∴ Total number of terms in the expansion =\[\frac{n}{2} + 1 = \frac{100}{2} + 1 = 51\]

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अध्याय 18: Binomial Theorem - Exercise 18.4 [पृष्ठ ४७]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 18 Binomial Theorem
Exercise 18.4 | Q 18 | पृष्ठ ४७

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