Q90.The sum of the series 20C0 −20C1 + 20C2 −20C3 + … −… + 20C10 is (1) −20C10 (2) 12 20C10 (3) 0 (4) 20C10
What This Question Tests
This question requires knowledge of the binomial expansion of (1-x)^n and the symmetry property of binomial coefficients to find the sum of an alternating series.
Concepts Tested
Formulas Used
(1+x)^n = Σ C(n,r)x^r
C(n,r) = C(n, n-r)
📚 NCERT Sections This Tests
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.
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
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
- Properties of Binomial Coefficients
- Year
- 2007
- Shift
- Unknown
- Q Number
- Q90
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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