Q83.The number of positive integers k such that the constant term in the binomial expansion of 12 (2x3 + xk3 ) , x ≠0 is 28 ⋅l, where l is an odd integer, is ______.
What This Question Tests
This problem involves finding the general term of a binomial expansion, identifying the condition for the constant term, and then solving for the possible integer values of k based on the coefficient.
Concepts Tested
Formulas Used
Tr+1 = nCr * a^(n-r) * b^r
📚 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.
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
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?
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- General Term and Constant Term in Binomial Expansion
- Year
- 2022
- Shift
- 28 Jun Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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