Find the complex number Z, the greatest ...

Find the complex number Z, the greatest in absolute value which satisfies `|z-2 +2i| = 1`

Topper's Solved these Questions

COMPLEX NUMBERS
A DAS GUPTA|Exercise EXERCISE|224 Videos
Circular Functions, Identities
A DAS GUPTA|Exercise Exercise|300 Videos
Continuity, Differentiability and Graph of Function
A DAS GUPTA|Exercise Exercise|38 Videos

Similar Questions

Explore conceptually related problems

The sum of the least and greates in absolute value of z which satisfies the condition |2z+1-I sqrt(3)|=1 , is

If z is a complex number having least absolute value and |z-2+2i|=|, then z=

Find the complex number z with maximum and minimum possible values of |z| satisfying (a) |z + (1)/(z) | =1 . (b) |z+ (4)/(z)| =3 .

The complex number z ,which has the least modulus and satisfy the condition |z-2-2i|=1 ,is

Find the complex number z for which |z| = z + 1 + 2i.

The complex number z satisfies z+|z|=2+8i. find the value of |z|-8

Find the complex number z such that |z-2+2i| le 1 and z has the : least absoluate value.

A DAS GUPTA-COMPLEX NUMBERS-EXERCISE

Find z satisfying |z-5i|le3 such that amp z is the minimum.
Text Solution
|
If |z-25i| lt= 15. then |"maximum " arg(z) - "minimum " arg(z)| equals
Text Solution
|
Find the complex number Z, the greatest in absolute value which satisf...
Text Solution
|
Complex number z1, z2 and z3 in AP
Text Solution
|
if |(1-iz)/(z-i)|=1 prove that the locus of the variable point z in th...
Text Solution
|
The equation barbz+bbarz=c, where b is a non-zero complex constant and...
Text Solution
|
Let A(z1) and (z2) represent two complex numbers on the complex plan...
Text Solution
|
Find the area of the triangle whose vertices in the Argand plane are i...
Text Solution
|
Show that the area of the triangle on the Argand diagram formed by the...
Text Solution
|
Find the area of the triangle whose vertices represent the three roots...
Text Solution
|
The complex numbers z1, z2 and the origin form an equilateral triangle...
Text Solution
|
Complex numbers z1 , z2, z3 are the vertices A, B, C respectively of ...
Text Solution
|
If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...
Text Solution
|
If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...
Text Solution
|
Complex numbers z1 , z2, z3 are the vertices A, B, C respectively of ...
Text Solution
|
The points representing cube roots of unity
Text Solution
|
z, w, w^2 are the vertices of an equilateral triangle in the Argand pl...
Text Solution
|
If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...
Text Solution
|
If two consecutive vertices of a regular hexagon be z and barz , find ...
Text Solution
|
If z1,z2 are two complex numbers representing two consecutive vertices...
Text Solution
|