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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If (3+i)(z+zˉ)āˆ’(2+i)(zāˆ’zˉ)+14i=0(3+i)(z+\bar{z})-(2+i)(z-\bar{z})+14 i=0, where i=āˆ’1i=\sqrt{-1}, then zzˉz \bar{z} is equal to
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Correct option: A
10
Option A (10) is correct because by substituting z = x + iy into the given equation and solving for x and y, we find that zzˉ=x2+y2=10z\bar{z} = x^2 + y^2 = 10.

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