For any two complex numbers z1 and z2 with |z1| not equal to |z2|,
|i2^1/2z1 +3^1/2z2|² +|3^1/2z1 +i2^1/2z2|² is

a. =5(|z2|²+|z2|²|

b=2|z1|²+3|z2|²

c. 0

d. None

Dear Vaibhav

|i2^1/2z1 +3^1/2z2|² +|3^1/2z1 +i2^1/2z2|²

=(i2^1/2z1 +3^1/2z2)(-i2^1/2conjugate(z1) +3^1/2conjugate(z2)) +(3^1/2z1 +i2^1/2z2)(3^1/2conjugate(z1) +i2^1/2conjugate(z2))

=5(|z2|²+|z2|²)

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