Complex Number

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #21

If `z` is a complex number and `|z-2| \le 3`, then find maximum value of `|z|`

Question No: #22

If `z` is a complex number and `|z+4| le 3`, then find the maximum value of `|z+1|`

Question No: #23

If `z` is a complex number and `|z+2| \le 2`, then find maximum & minimum value of `|z|`

Question No: #24

If `z` is a complex number and `|z+5| \le 6`, then find maximum & minimum value of `|z+2|`

Question No: #25

If `z` is a complex number and `|z+2| + |z-2| \le 6`, then find maximum value of `|z|`

Question No: #26

`z` is a complex number and `|z^2-9| = 8|z|`, then find maximum & minimum value of `|z|`

Question No: #27

`z, z_0` are complex numbers and `|z-i| \le 2`, `z_0 = 5+3i`; then find the maximum value of `|iz+z_0|`

Question No: #28

If `z_1, z_2, z_3` are three complex numbers such that `|z_1| = |z_2| = |z_3| = |1/z_1 + 1/z_2 + 1/z_3| = 1`, then find the value of `|z_1 + z_2 + z_3|`

Question No: #29

`z` is a complex number such that `|z|=4` and `arg(z) = \frac{5\pi}{6}`. Find the complex number `z`

Question No: #30

If `z = 1 + i\tan\alpha` (where `\pi \lt \alpha \lt \frac{3\pi}{2}`), then find `|z|`.