Let $Z_{1} = x_{1} + i y_{1}$ , $Z_{2} = x_{2} + i y_{2}$ be complex numbers in fourth quadrant of argand plane and $∣ Z_{1} ∣ = ∣ Z_{2} ∣ = 1$ , $R e f (Z_{1} Z_{2}) = 0$ . The complex numbers $Z_{3} = x_{1} + i x_{2}$ , $Z_{4} = y_{1} + i y_{2}$ , $Z_{5} = x_{1} + i y_{2}$ , $Z_{6} = x_{6} + i y$ , will always satisfy

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James Discussed

Let

Z_{1} = x_{1} + i y_{1}

Z_{2} = x_{2} + i y_{2}

be complex numbers in fourth quadrant of argand plane and

∣ Z_{1} ∣ = ∣ Z_{2} ∣ = 1

R e f (Z_{1} Z_{2}) = 0

. The complex numbers

Z_{3} = x_{1} + i x_{2}

Z_{4} = y_{1} + i y_{2}

Z_{5} = x_{1} + i y_{2}

Z_{6} = x_{6} + i y

, will always satisfy

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Question Text

Let

Z_{1} = x_{1} + i y_{1}

Z_{2} = x_{2} + i y_{2}

be complex numbers in fourth quadrant of argand plane and

∣ Z_{1} ∣ = ∣ Z_{2} ∣ = 1

R e f (Z_{1} Z_{2}) = 0

. The complex numbers

Z_{3} = x_{1} + i x_{2}

Z_{4} = y_{1} + i y_{2}

Z_{5} = x_{1} + i y_{2}

Z_{6} = x_{6} + i y

, will always satisfy

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