For any real number r, let Ar = {eiπrn : n is a natural number} be a

1.	For any real number r, let Ar = {eiπrn : n is a natural number} be a set of complex numbers. Then(A) A1, A1/π, A0.3 are all infinite sets(B) A1 is a finite set and A1/π, A0.3 are infinite sets(C) A1, A1/π , A0.3 are all finite sets(D) A1, A0.3 are finite sets and A1/π is an infinite sets
Answer» Correct option (D) A₁, A_0.3are finite sets and A_1/πis an infinite sets Explanation: e^iπrn is always a finite set when r is a rational & is infinite when r = 1/π .

For any real number r, let Ar = {eiπrn : n is a natural number} be a set of complex numbers. Then(A) A1, A1/π, A0.3 are all infinite sets(B) A1 is a finite set and A1/π, A0.3 are infinite sets(C) A1, A1/π , A0.3 are all finite sets(D) A1, A0.3 are finite sets and A1/π is an infinite sets

Answer»

Correct option (D) A₁, A_0.3are finite sets and A_1/πis an infinite sets

Explanation:

e^iπrn is always a finite set when r is a rational & is infinite when r = 1/π .

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For any real number r, let Ar = {eiπrn : n is a natural number} be a set of complex numbers. Then(A) A1, A1/π, A0.3 are all infinite sets(B) A1 is a finite set and A1/π, A0.3 are infinite sets(C) A1, A1/π , A0.3 are all finite sets(D) A1, A0.3 are finite sets and A1/π is an infinite sets

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