QT P1 M 4

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Coefficient of X⁶ IN is

(A)26

(B)28

(D)35

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4 Answers

rahul nair ·2010-03-01 04:11:34

the expression=(1+x)(1+2x²+x⁴)(1+3x³+3x^{6}+x^{9})(1+4x^{4}.....)(1+5x^{5}....)(1+6x^{6}.....)
(As frm n=7 onwards, der will be no x^7 term, frm d last 3 expresions, I have negleted powers greater than 6)

on comparing co-efficients,1*6x^{6}=6

x*5x^{5}=5

2x²*4x⁴=8
3x³*3x³=9
so, coeffic of x^{6}=6+5+8+9=28

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UTTARA ·2010-03-01 04:16:29

Ya Thanks A lot

I really needed this qs

S o ans is A

[159]

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rahul nair ·2010-03-01 05:38:44

but in d ques, it should hav been mentioned that nâ†’âˆž, or atleast nâ‰¥6

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UTTARA ·2010-03-01 06:07:43

ya atleast in jee we wont encounter such probs!!!

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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QT P1 M 4

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