Functions

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S = { [x],sin^-1x , l x l , {x} }

A,B,C are subsets of S

A ---> consists of odd functions

B ----> consists of discontinuous functions

C ----> consists of non decreasing/ increasing functions

l (x) Îµ neither A nor B nor C

The funcn l (x) is

(A)Periodic

(B)Even

(C)Odd

(D)Neither Odd nor Even

#Mathematics #Algebra

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7 Answers

UTTARA ·2009-12-26 10:28:06

No one???

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Abhishek Priyam ·2009-12-26 10:35:42

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UTTARA ·2009-12-26 10:37:33

Ya u're right

Plzz post the solution

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Abhishek Priyam ·2009-12-26 10:40:05

l (x) is not odd so sin-1x is removed
l (x) is con so [x] and {x} is removed
left is |x| which is even

Hence is the answer

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UTTARA ·2009-12-26 10:41:52

Thanks :)

(I actually had a doubt with the ans given & now clarified)

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taran ·2009-12-26 10:47:53

A = {sin-1x }

B= { [x] ,{x} }

C= {sin-1x}

so
l (x) = |x|

which is even

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UTTARA ·2009-12-26 10:52:13

Thanks Taran

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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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Functions

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