Q65.The coefficient of ๐ฅ101 in the expression 5 + ๐ฅ500 + ๐ฅ5 + ๐ฅ499 + ๐ฅ25 + ๐ฅ498 + โฆ โฆ + ๐ฅ500, ๐ฅ> 0 is (1) 501 ๐ถ101 ร 5399 (2) 501๐ถ101 ร 5400 (3) 501๐ถ100 ร 5400 (4) 500๐ถ101 ร 5399
What This Question Tests
This question requires identifying the correct term in a multinomial expansion by grouping terms and then applying the binomial theorem to find the coefficient of a specific power of x.
Concepts Tested
Formulas Used
(a+b)^n = ฮฃ (nCr) a^(n-r) b^r
๐ NCERT Sections This Tests
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5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
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๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Binomial expansion
- Year
- 2022
- Shift
- 25 Jun Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
More from this Chapter
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