Let z1 and z2 be any two non-zero complex numbers such that 3|z1| = 4|z2|. If $z = \frac{{3{z_1}}}{{2{z_2}}} + \frac{{2{z_2}}}{{3{z_1}}}$ then:

Question

Let z1 and z2 be any two non-zero complex numbers such that 3|z1| = 4|z2|. If $z = \frac{{3{z_1}}}{{2{z_2}}} + \frac{{2{z_2}}}{{3{z_1}}}$ then:

TuteeHUB · Accepted Answer

$\left| {\rm{z}} \right| = \sqrt {\frac{5}{2}}$

TuteeHUB · Answer

Re(z) = 0

TuteeHUB · Answer

$\left| {\rm{z}} \right| = \frac{1}{2}\sqrt {\frac{{17}}{2}}$

TuteeHUB · Answer

Im(z) = 0

1.	Let z1 and z2 be any two non-zero complex numbers such that 3\|z1\| = 4\|z2\|. If \(z = \frac{{3{z_1}}}{{2{z_2}}} + \frac{{2{z_2}}}{{3{z_1}}}\) then:
A.	Re(z) = 0
B.	\(\left\| {\rm{z}} \right\| = \sqrt {\frac{5}{2}}\)
C.	\(\left\| {\rm{z}} \right\| = \frac{1}{2}\sqrt {\frac{{17}}{2}}\)
D.	Im(z) = 0
Answer» B. \(\left\| {\rm{z}} \right\| = \sqrt {\frac{5}{2}}\)

Let z1 and z2 be any two non-zero complex numbers such that 3|z1| = 4|z2|. If \(z = \frac{{3{z_1}}}{{2{z_2}}} + \frac{{2{z_2}}}{{3{z_1}}}\) then: