Q67.The sum, of the coefficients of the first 50 terms in the binomial expansion of (1 −x)100, is equal to (1) 101C50 (2) 99C49 (3) −101C50 (4) −99C49
What This Question Tests
This question tests the understanding of the sum of binomial coefficients, specifically for the expansion of (1-x)^100, and the symmetry property of these coefficients.
Concepts Tested
Formulas Used
(1+x)^n = Σ nCk x^k
Σ nCk = 2^n
nCk = nC(n-k)
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
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5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
5.11 — Draw All The Isomers (Geometrical And Optical) Of:
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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)]+
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Sum of binomial coefficients
- Year
- 2023
- Shift
- 12 Apr Shift 1
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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