1

IIT-JEE 1985

MCQ (More than One Correct Answer)
If $${z_1}$$ = a + ib and $${z_2}$$ = c + id are complex numbers such that $$\left| {{z_1}} \right| = \left| {{z_2}} \right| = 1$$ and $${\mathop{\rm Re}\nolimits} ({z_1}\,{\overline z _2}) = 0$$, then the pair of complex numbers $${w_1}$$ = a + ic and $${w_2}$$ = b+ id satisfies -
A
$$\left| {{w_1}} \right| = 1\,$$
B
$$\left| {{w_2}} \right| = 1\,$$
C
$${\mathop{\rm Re}\nolimits} ({w_1}\,{\overline w _2}) = 0$$
D
none of these

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