MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Complex Numbers

25. Least val...

Question

25. Least value |z|+|z-1|+|z-i|+|z-3-4i| Where z is a complex number

Open in App

Solution

Suggest Corrections

thumbs-up

6

Similar questions

Q. The least value of

| z |

z

is complex number which satisfies the inequality

exp (\frac{(| z | + 3) (| z | - 1)}{| | z | + 1 |} {log}_{e} 2) \geq {log}_{\sqrt{2}} ∣ ∣ 5 \sqrt{7} + 9 i ∣ ∣,

i = \sqrt{- 1},

Q. It is known that

∣ ∣ ∣ z + \frac{1}{z} ∣ ∣ ∣ = a

, where z is a complex number. What are the greatest and least positive values of the modulus |z| of the complex number z?

Q. For all complex numbers

z_{1}, z_{2}

| z_{1} | = 12; | z_{2} - 3 - 4 i | = 5

, the minimum value of

| z_{1} - z_{2} |

Let z be a complex number such that |z| = 5 . Find the maximum value of | z + 3 + 4i |

| z - 3 | < 1

| z - 4 i | > M

then find the positive real value of

M

for which these exist at least one complex number

z

satisfy both the equation.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Complex Numbers

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon