Q24.The sum of all rational terms in the expansion of (1 + 21/2 + 31/2) 6 is equal to
What This Question Tests
This question requires finding the general term in the expansion of a trinomial and identifying the specific terms that result in rational values, testing algebraic manipulation with exponents.
Concepts Tested
Formulas Used
(x+y+z)ⁿ expansion (multinomial theorem)
Conditions for rational powers
📚 NCERT Sections This Tests
6.11 — Dynamics Of Rotational
Physics Class 11 · Chapter 6
6.11 Dynamics of rotational the motion of extended bodies. motion about a fixed axis A large class of problems with extended bodies can be
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.
5.12 — 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 in Binomial Expansion
- Year
- 2025
- Shift
- 23 Jan Shift 1
- Q Number
- Q24
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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