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JEE Main2002MathematicsComplex NumberActual

z and w are two non zero complex no.s such that |z|=|w| and Arg z+ Arg w= then z equals

Options

  1. AW
  2. B- W
  3. CW
  4. D- W

Correct answer

B. - W

Step-by-step solution

Let | z |=| |= r z = re ^ i , = re ^ i where + = = re ^ - i z= re ^ i( - ) = re ^ i e ^ -i =- re ^ -i =-

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