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For a non-zero complex number z, let arg(z) denote the principal argument with < arg(z) Then, which of the following statement(s) is (are) FALSE ?
  • a)
    arg=,where i 
  • b)
    The function f : R, defined by f(t) = argfor all t ∈R, is continuous at all points of R, where 
  • c)
    For any two non-zero complex numbers z1 and z2, arg –arg  is an integer multiple of 
  • d)
    For any three given distinct complex numbers z1, z2 and z3, the locus of the point z satisfying the condition arg , lies on a straight line 
Correct answer is option 'A,B,D'. Can you explain this answer?
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For a non-zero complex number z, let arg(z) denote the principal argument with < arg(z) Then, which of the following statement(s) is (are) FALSE ?a)arg=,where ib)The function f : R, defined by f(t) = argfor all t∈R, is continuous at all points of R, wherec)For any two non-zero complex numbers z1 and z2,arg–argis an integer multiple ofd)For any three given distinct complex numbers z1, z2 and z3, the locus of the point z satisfying the conditionarg,lies on a straight lineCorrect answer is option 'A,B,D'. Can you explain this answer?
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For a non-zero complex number z, let arg(z) denote the principal argument with < arg(z) Then, which of the following statement(s) is (are) FALSE ?a)arg=,where ib)The function f : R, defined by f(t) = argfor all t∈R, is continuous at all points of R, wherec)For any two non-zero complex numbers z1 and z2,arg–argis an integer multiple ofd)For any three given distinct complex numbers z1, z2 and z3, the locus of the point z satisfying the conditionarg,lies on a straight lineCorrect answer is option 'A,B,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about For a non-zero complex number z, let arg(z) denote the principal argument with < arg(z) Then, which of the following statement(s) is (are) FALSE ?a)arg=,where ib)The function f : R, defined by f(t) = argfor all t∈R, is continuous at all points of R, wherec)For any two non-zero complex numbers z1 and z2,arg–argis an integer multiple ofd)For any three given distinct complex numbers z1, z2 and z3, the locus of the point z satisfying the conditionarg,lies on a straight lineCorrect answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a non-zero complex number z, let arg(z) denote the principal argument with < arg(z) Then, which of the following statement(s) is (are) FALSE ?a)arg=,where ib)The function f : R, defined by f(t) = argfor all t∈R, is continuous at all points of R, wherec)For any two non-zero complex numbers z1 and z2,arg–argis an integer multiple ofd)For any three given distinct complex numbers z1, z2 and z3, the locus of the point z satisfying the conditionarg,lies on a straight lineCorrect answer is option 'A,B,D'. Can you explain this answer?.
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