Q66.If n is a positive integer, then (√3 + 1)2n −(√3 −1)2n is (1) an irrational number (2) an odd positive integer (3) an even positive integer (4) a rational number other than positive integers
What This Question Tests
This question tests the application of the binomial theorem, specifically the expansion of expressions of the form (x+y)^N - (x-y)^N, and the ability to simplify and determine the nature of the resulting number.
Concepts Tested
Formulas Used
(x+y)^k - (x-y)^k = 2[C(k,1) x^(k-1)y + C(k,3) x^(k-3)y^3 + ...]
📚 NCERT Sections This Tests
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–
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
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Binomial expansion properties
- Year
- 2012
- Shift
- Offline
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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