Q63.If the greatest value of the term independent of x in the expansion of (x sin α + a cosx α )10 is (5!)210! value of a is equal to: (1) −1 (2) 1 (3) −2 (4) 2 10100 1
What This Question Tests
This question involves finding the term independent of x in a binomial expansion, then relating its greatest value to a given expression to determine the unknown parameter 'a', requiring knowledge of properties of binomial coefficients.
Concepts Tested
Formulas Used
T_{r+1} = nCr * a^(n-r) * b^r
nCr is maximum when r = n/2
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Term independent of x in binomial expansion
- Year
- 2021
- Shift
- 25 Jul Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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