Q.
If z1 and z2 are two complex numbers and a, b are two real numbers, then az1−bz22+bz1+az22 equals
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a
a2+b2z1z2
b
a2+b2z12+z22
c
a2+b2z12+z22
d
2abz1z2
answer is C.
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Detailed Solution
We haveaz1−bz22+bz1+az22=a2z12+b2z22−abz1z¯2−abz¯1z2+b2z12+a2z22+bazz¯2+baz¯1z2=a2+b2z12+z22