Q82.If the sum of the co-efficients of all the positive even powers of ๐ฅ in the binomial expansion of 2๐ฅ3 + is ๐ฅ 510 - ๐ฝยท 39, then ๐ฝ is equal to _____.
What This Question Tests
This question tests the ability to apply the property for finding the sum of coefficients of even powers in a binomial expansion after substituting x=1 and x=-1 into the expansion.
Concepts Tested
Formulas Used
(a+b)^n = ฮฃ nCr a^(n-r) b^r
Sum of coefficients of even powers = [ (1+x)^n + (1-x)^n ] / 2
๐ NCERT Sections This Tests
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๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Sum of coefficients in binomial expansion
- Year
- 2022
- Shift
- 25 Jun Shift 2
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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