if z is complex no satisfies the con...

if z is complex no satisfies the condition | Z |>3. Then find the least value of | Z+ 1/ Z |

Text Solution

AI Generated Solution

Topper's Solved these Questions

BINOMIAL THEOREM
CENGAGE ENGLISH|Exercise All Questions|365 Videos
CONIC SECTIONS
CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

If z is a complex number satisfying the relation |z+ 1|=z+2(1+i) , then z is

If z is a complex number satisfying the equaiton z^(6) - 6z^(3) + 25 = 0 , then the value of |z| is

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|

If |z|ge3, then determine the least value of |z+(1)/(z)| .

1. If |z-2+i| ≤ 2 then find the greatest and least value of | z|

For the complex number z satisfying the condition |z+(2)/(z)|=2 , the maximum value of |z| is

1. If |z-2+i|≤ 2 then find the greatest and least value of | z|

|z +3| <= 3 , then the greatest and least value of |z | are

Let z be a complex number satisfying 1/2 le |z| le 4 , then sum of greatest and least values of |z+1/z| is :

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions

Let |z|=2and w=(z+1)/(z-1),where z ,w , in C (where C is the set of c...
Text Solution
|
If alpha,betaa n dgamma are roots of 2x^3+x^2-7=0 , then find the va...
Text Solution
|
if z is complex no satisfies the condition | Z |>3. T...
Text Solution
|
If alpha is the nth root of unity, then 1+2alpha+3alpha^2+ ton terms e...
Text Solution
|
Let r ,s ,a n dt be the roots of equation 8x^3+1001 x+2008=0. Then f...
Text Solution
|
Locate the region in the Argand plane determined by z^2+ z ^2+2|z^2|<...
Text Solution
|
Given z is a complex number with modulus 1. Then the equation [(1+i a)...
Text Solution
|
The number of value of k for which [x^2-(k-2)x+k^2]xx""[x^2+k x+(2k-1...
Text Solution
|
For any complex number z prove that |R e(z)|+|I m(z)|<=sqrt(2)|z|
Text Solution
|
The point z1=3+sqrt(3)i and z2=2sqrt(3)+6i are given on a complex plan...
Text Solution
|
The total number of integral values of a so that x^2-(a+1)x+a-1=0 has ...
Text Solution
|
If w=z/[z-(1/3)i] and |w|=1, then find the locus of z
Text Solution
|
Let C1and C2 be two circles with C2 lying inside C1 A circle C lying i...
Text Solution
|
The number of positive integral solutions of x^4-y^4=3789108 is a.0 ...
Text Solution
|
The region of argand diagram defined by |z-1|+|z+1|<=4 (1) interior o...
Text Solution
|
z1, z2, z3,z4 are distinct complex numbers representing the vertices o...
Text Solution
|
If alpha,beta are the roots of x^2+p x+q=0a n dx^(2n)+p^n x^n+q^n=0a n...
Text Solution
|
If (log)(sqrt(3))((|z|^2-|z|+1)/(2+|z|))>2, then locate the region in ...
Text Solution
|
If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(...
Text Solution
|
If alpha,beta,gamma are such that alpha+beta+gamma=2,""alpha^2+beta^2+...
Text Solution
|