117505 If \( \vert z+4 \vert \leq 3\), then the greatest and the least value of \( \vert z+1 \vert \) are

117473 The smallest positive integral value of \(n\) for which \((1+\sqrt{3} i)^{1 / 2}\) is positive real, is

117474 If \(\omega\) is an imaginary cube root of unity, then \(\left(1+\omega-\omega^2\right)^7\) equals

117475 If \(z=\frac{7-i}{3-4 i}\) then \(z^{14}\) equals

117505 If \( \vert z+4 \vert \leq 3\), then the greatest and the least value of \( \vert z+1 \vert \) are

117473 The smallest positive integral value of \(n\) for which \((1+\sqrt{3} i)^{1 / 2}\) is positive real, is

117474 If \(\omega\) is an imaginary cube root of unity, then \(\left(1+\omega-\omega^2\right)^7\) equals

117475 If \(z=\frac{7-i}{3-4 i}\) then \(z^{14}\) equals

117505 If \( \vert z+4 \vert \leq 3\), then the greatest and the least value of \( \vert z+1 \vert \) are

117473 The smallest positive integral value of \(n\) for which \((1+\sqrt{3} i)^{1 / 2}\) is positive real, is

117474 If \(\omega\) is an imaginary cube root of unity, then \(\left(1+\omega-\omega^2\right)^7\) equals

117475 If \(z=\frac{7-i}{3-4 i}\) then \(z^{14}\) equals

117505 If \( \vert z+4 \vert \leq 3\), then the greatest and the least value of \( \vert z+1 \vert \) are

117473 The smallest positive integral value of \(n\) for which \((1+\sqrt{3} i)^{1 / 2}\) is positive real, is

117474 If \(\omega\) is an imaginary cube root of unity, then \(\left(1+\omega-\omega^2\right)^7\) equals

117475 If \(z=\frac{7-i}{3-4 i}\) then \(z^{14}\) equals