Q66.The coefficient of x−5 in the binomial expansion of ( x 32 −x 31 +1 − x−x 21 ) where x ≠0,1 is (1) −1 (2) 4 (3) 1 (4) −4
What This Question Tests
This question tests the ability to simplify a complex algebraic expression into a form suitable for binomial expansion with negative indices and then finding the coefficient of a specific term.
Concepts Tested
Formulas Used
(1+x)^n = 1 + nx + n(n-1)/2! x² + ...
(1-x)^-1 = 1 + x + x² + ...
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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Binomial expansion for negative/fractional indices
- Year
- 2017
- Shift
- 09 Apr Online
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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