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In the given set   the cube roots do not form. 
  • a)
     Group w.r.t. addition, the set of complex number c. 
  • b)
     Group w.r.t. multiplication, the set of complex number c. 
  • c)
     Group w.r.t. subtraction, the set of complex number c. 
  • d)
     Group w.r.t. division, the set of complex number c. 
Correct answer is option 'A,C,D'. Can you explain this answer?
Most Upvoted Answer
In the given setthe cube roots do not form.a)Group w.r.t. addition, th...
The Set
of the cube roots of 1 forms a group w.r.t. multiplication set of complex number c. since 
(I) The product of any two elements of the set is an element of the set. 
(II) The associative law holds in c and hence in A.
(III) w3 is the identity element. 
(iv) The inverse of w1, w2 and w3 are w2, w1 and w3 respectively therefore A is group w.r.t. multiplication.
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In the given setthe cube roots do not form.a)Group w.r.t. addition, the set of complex number c.b)Group w.r.t. multiplication, the set of complex number c.c)Group w.r.t. subtraction, the set of complex number c.d)Group w.r.t. division, the set of complex number c.Correct answer is option 'A,C,D'. Can you explain this answer?
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In the given setthe cube roots do not form.a)Group w.r.t. addition, the set of complex number c.b)Group w.r.t. multiplication, the set of complex number c.c)Group w.r.t. subtraction, the set of complex number c.d)Group w.r.t. division, the set of complex number c.Correct answer is option 'A,C,D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about In the given setthe cube roots do not form.a)Group w.r.t. addition, the set of complex number c.b)Group w.r.t. multiplication, the set of complex number c.c)Group w.r.t. subtraction, the set of complex number c.d)Group w.r.t. division, the set of complex number c.Correct answer is option 'A,C,D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given setthe cube roots do not form.a)Group w.r.t. addition, the set of complex number c.b)Group w.r.t. multiplication, the set of complex number c.c)Group w.r.t. subtraction, the set of complex number c.d)Group w.r.t. division, the set of complex number c.Correct answer is option 'A,C,D'. Can you explain this answer?.
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