Q66.The coefficient of x1012 in the expansion of (1 + xn + x253) 10, (where n≤22 is any positive integer), is (1) 253C4 (2) 10C4 (3) 4n (4) 1
What This Question Tests
This problem requires applying the multinomial theorem to find the coefficient of a specific power of x by finding integer solutions to the power equations.
Concepts Tested
Formulas Used
(x+y+z)^n = ∑ (n! / (r1! r2! r3!)) * x^r1 * y^r2 * z^r3
📚 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
5.23 — Give The Oxidation State, D Orbital Occupation And Coordination Number Of
Chemistry Class 11 · Chapter 5
5.23 Give the oxidation state, d orbital occupation and coordination number of the central metal ion in the following complexes: (i) K3[Co(C2O4)3] (iii) (NH4)2[CoF4] (ii) cis-[CrCl2(en)2]Cl (iv) [Mn(H2O)6]SO4
5.15 — Discuss The Nature Of Bonding In The Following Coordination Entities On The
Chemistry Class 11 · Chapter 5
5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4– (ii) [FeF6] 3– (iii) [Co(C2O4)3]3– (iv) [CoF6] 3–
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Coefficient of a specific term in a binomial expansion
- Year
- 2014
- Shift
- 19 Apr Online
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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