Q67.The number of terms in the expansion of (1 + x)101(1 −x + x2) 100 in powers of x is (1) 301 (2) 302 (3) 101 (4) 202
What This Question Tests
This problem tests the ability to simplify algebraic expressions involving binomial expansions by using common factorization formulas and then determine the number of distinct terms in the resulting polynomial.
Concepts Tested
Formulas Used
(a+b)(a^2-ab+b^2) = a^3+b^3
Binomial expansion of (1+x)^n
📚 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.
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 · Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
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
- Binomial expansion
- Year
- 2014
- Shift
- 09 Apr Online
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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