Q66.If f(y) = 1 −(y −1) + (y −1)2 −(y −1)3 + … −(y −1)17 then the coefficient of y2 in it is (1) 17C2 (2) 17C3 (3) 18C2 (4) 18C3
What This Question Tests
This question involves recognizing a finite geometric series, summing it, and then using the binomial expansion of (y-1)^18 to extract the coefficient of y^2 after dividing by y.
Concepts Tested
Formulas Used
Sum of finite GP: a(1-r^n)/(1-r)
(x+y)^n = Σ C(n,k) x^(n-k) y^k
📚 NCERT Sections This Tests
5.28 — How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
Chemistry Class 11 · Chapter 5
5.28 How many ions are produced from the complex Co(NH3)6Cl2 in solution? (i) 6 (ii) 4 (iii) 3 (iv) 2 139 Coordination Compounds Reprint 2025-26
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
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:
Chemistry Class 11 · Chapter 5
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
- Binomial expansion
- Year
- 2012
- Shift
- 07 May Online
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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