Home
Class 12
MATHS
If z1=a+ib and z2=c+id are complex numbe...

If `z_1=a+ib and z_2=c+id` are complex numbes such that `|z_1|=|z_2|=1 and Re(z_1barz_2)=0` then the pair of complex numbers `omega_1= a+ic and omega_2=b+id` satisfy which of the following relations? (A) `|omega_1|=1` (B) `|omega_2|=1` (C) `Re(omega_1 baromega_2)=0` (D) `Im(omega_1baromega_2)=0`

Promotional Banner

Similar Questions

Explore conceptually related problems

If z_(1)=a+ib and z_(2)=c+id are complex numbers such that Re(z_(1)bar(z)_(2))=0, then the |z_(1)|=|z_(2)|=1 and Re(z_(1)bar(z)_(2))=0, then the pair ofcomplex nunmbers omega=a+ic and omega_(2)=b+id satisfies

If z_(1) = a + ib " and " z_(2) + c id are complex numbers such that |z_(1)| = |z_(2)| = 1 and Re (z_(1)bar (z)_(2)) = 0 , then the pair of complex numbers w_(1) = a + ic " and " w_(2) = b id satisfies :

If z_1 + a_1 + ib_1 and z_2 = a_2 + ib_2 are complex such that |z_1| = 1, |z_2|=2 and "Re" (z_1 z_2)=0 , then the pair of complex numbers omega_(1) = a_(1) = (ia_2)/(2) and omega_(2) = 2b_(1) + ib_(2) satisfy.

If z_1=a+ib and z_2=c+id are two complex numbers then z_1 gt z_2 is meaningful if

Let Z and w be two complex number such that |zw|=1 and arg(z)-arg(w)=pi/2 then

Let z and w be two complex numbers such that |Z|<=1,|w|<=1 and |z+iw|=|z-ibar(w)|=2

If z and w are two complex number such that |zw|=1 and arg(z)arg(w)=(pi)/(2), then show that bar(z)w=-i

If z_(1),z_(2) are two complex numbers such that Im(z_(1)+z_(2))=0,Im(z_(1)z_(2))=0, then