Q. 6 please solve this issue

Dear student

Let z = x + iy so, |x| + |y| = 4 so, x \geq 0, y \geq 0 and x + y = 4 so, x + y - 4 = 0 so, |\frac{- 4}{\sqrt{2}}| = 2 \sqrt{2} so, \sqrt{x^{2} + y^{2}} lies between \sqrt{8} and \sqrt{16} So, ans is \sqrt{7}

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