(i) If \( z_{1}, z_{2}, z_{3} \), are unimodular complex (a) \( \frac{1}{2} \) numbers such that...
0(i) If \( z_{1}, z_{2}, z_{3} \), are unimodular complex
(a) \( \frac{1}{2} \) numbers such that \( \left|z_{1}-z_{2}+z_{3}\right|=4 \) then \( \left|\frac{1}{z_{1}}-\frac{1}{z_{2}}+\frac{1}{z_{3}}\right| \) is
(ii) The planes \( 2 x-3 y-7 z=0 \),
(b) 3
\( \lambda x-14 y-13 z=0 \) and,
\( 8 x-31 y-33 z=0 \) pass through the same
line if \( \lambda \) is
(iii) If \( \tan ^{-1} \frac{\sqrt{1-x^{2}}-1}{x}: \tan ^{-1} x=a: 1 \) then a is \( \quad \) (c) 2
(iv) In the \( \triangle \mathrm{ABC} \) the median
(d) 4
\( A D=\frac{1}{\sqrt{11-6 \sqrt{3}}} \) and the median divides \( \angle A \) into angles of \( 30^{\circ} \) and \( 45^{\circ} \). The length of \( B C \) is
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