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If $(4 + i) (z + \bar{z}) - (3 + i) (z - \bar{z}) + 26 i = 0,$ then the value of ${|z|}^{2}$ is

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Correct option is B

Let z=x+iy, then 2(4+i)x−(3+i)2iy+26i=0⇒4x+y=0,x−3y+13=0⇒x=−1,y=4∴|z|2=17

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If (4+i)(z+z¯)−(3+i)(z−z¯)+26i=0, then the value of z2 is

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If $(4 + i) (z + \bar{z}) - (3 + i) (z - \bar{z}) + 26 i = 0,$ then the value of ${|z|}^{2}$ is