Algebra> Sir this is a previous IIT question of co...

Sir this is a previous IIT question of complex numbers .I have put the question in the attachment Can you help me solve it? The answer given is A,B,C

Aditya Dev , 9 Years ago

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mycroft holmes

$$Re (z_1 \overline{z_2})=0 \Rightarrow z_1, z_2$ are perpendicular

i.e. $z_1 = (\cos \theta, \sin \theta); z_2 = (-\sin \theta, \cos \theta)$ for some angle

Then $w_1 = (\cos \theta, -\sin \theta); w_2 = (\sin \theta, \cos \theta)$

Then its immediately seen that $|w_1| = 1 ,|w_2| = 1$ and w₁ and w₂ are also perpendicular. Which means that $Re (w_1 \overline{w_2})= 0$

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Last Activity: 9 Years ago

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Algebra> Sir this is a previous IIT question of co...

Sir this is a previous IIT question of complex numbers .I have put the question in the attachment Can you help me solve it? The answer given is A,B,C

Aditya Dev , 9 Years ago

mycroft holmes

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