Q85.Suppose โ๐=20230 ๐2 ยท 2023๐ถ๐= 2023 ร ๐ผร 22022, then the value of ๐ผ is
What This Question Tests
This question is a advanced problem on binomial series, requiring knowledge of identities involving sums of r*nCr and r^2*nCr, which are typically derived by differentiating the binomial expansion of (1+x)^n.
Concepts Tested
Formulas Used
(1+x)^n = ฮฃ nCr x^r
ฮฃ r nCr x^r = nx(1+x)^(n-1)
ฮฃ r^2 nCr x^r = n(n-1)x^2(1+x)^(n-2) + nx(1+x)^(n-1)
๐ NCERT Sections This Tests
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๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Binomial sum identities
- Year
- 2023
- Shift
- 24 Jan Shift 1
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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