Q65.Let (x + 10)50 + (x −10)50 = a0 + a1x + a2x2 + … . +a50x50 , for all x ∈R; then a2 is equal to : a0 (1) 12.5 (2) 12 (3) 12.25 (4) 12.75
What This Question Tests
This question tests the ability to apply the binomial theorem to expand two terms, identify specific coefficients from the combined expansion, and then calculate their ratio.
Concepts Tested
Formulas Used
(a+b)ⁿ = Σ nCk a^(n-k) b^k
📚 NCERT Sections This Tests
12.7 — The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 · Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
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.
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
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12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Coefficients in binomial expansion
- Year
- 2019
- Shift
- 11 Jan Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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