For any two complex numbers z 1 and z 2 and any real numbers a and b; |(az 1 – bz 2 )| 2…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
For any two complex numbers z1 and z2 and any real numbers a and b; |(az1 – bz2)|2 + |(bz1 + az2)|2 is equal to :
- (a2 + b2) (|z1| + |z2|)
- (a2 + b2) (|z1|2 + |z2|2)
- (a2 + b2) (|z1|2 – |z2|2)
- none of the above
Answer
(B) (a 2 + b 2 ) (|z 1 | 2 + |z 2 | 2 )
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