Q66.The middle term in the expansion of (1 −1x ) n (1 −xn) in powers of x is (1) −2nCn−1 (2) −2nCn (3) 2nCn−1 (4) 2nCn
What This Question Tests
This problem tests the ability to simplify a given product of binomial expressions into a standard form and then find the 'middle term' which, in this context, refers to the term independent of x (i.e., x^0).
Concepts Tested
Formulas Used
(a+b)^n = sum(nCr a^(n-r) b^r)
T_{r+1} term in binomial expansion
📚 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.
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)]+
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
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Middle term in binomial expansion
- Year
- 2012
- Shift
- 26 May Online
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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