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For any two complex numbers z1 and z2 with |z1| not equal to |z2|, |i2 1/2 z1 +3 1/2 z2| 2 +|3 1/2 z1 +i2 1/2 z2| 2 is a. =5(|z2| 2 +|z2| 2 | b=2|z1| 2 +3|z2| 2 c. 0 d. None

For any two complex numbers z1 and z2 with |z1| not equal to |z2|,
|i21/2z1 +31/2z2|2 +|31/2z1 +i21/2z2|2 is


a. =5(|z2|2+|z2|2|


b=2|z1|2+3|z2|2


c. 0


d. None

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear Vaibhav

|i21/2z1 +31/2z2|2 +|31/2z1 +i21/2z2|2

=(i21/2z1 +31/2z2)(-i21/2conjugate(z1) +31/2conjugate(z2)) +(31/2z1 +i21/2z2)(31/2conjugate(z1) +i21/2conjugate(z2))

=5(|z2|2+|z2|2)

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