Q83.If the coefficient of x10 in the binomial expansion of ( 5 14 + x 13 ) is 5kl, where l, k ∈N and l is coprime to 5, then k is equal to ______.
What This Question Tests
This question applies the binomial theorem to find the coefficient of a specific power of x in a given expansion, requiring careful handling of fractional exponents and algebraic manipulation.
Concepts Tested
Formulas Used
Tr+1 = nCr a^(n-r) b^r
📚 NCERT Sections This Tests
5.18 — What Is Crystal Field Splitting Energy? How Does The Magnitude Of Do Decide
Chemistry Class 11 · Chapter 5
5.18 What is crystal field splitting energy? How does the magnitude of Do decide the actual configuration of d orbitals in a coordination entity?
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
- General Term in Binomial Expansion
- Year
- 2022
- Shift
- 27 Jun Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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