If z 1 = a + ib and z 2 = c + id are complex numbers such that |z 1 | = |z 2 | = 1 and Re…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If z1 = a + ib and z2 = c + id are complex numbers such that |z1| = |z2| = 1 and Re \(\left(\mathrm{z}_{1} \overline{\mathrm{z}}_{2}\right)\)= 0, then the pair of complex numbers w1 = a + ic and w2 = b + id satisfies
- |w1| =1
- |w2| =1
- \(\operatorname{Re}\left(w_{1} \bar{w}_{2}\right)=0\)
- None of the above
Answer
(A) |w 1 | =1, (B) |w 2 | =1, (C) Re (w_ 1 w _ 2 )=0
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