If z is a any complex number such that |...

If z is a any complex number such that `|z+4|le3,` find the greatest value of |z+1|.

Text Solution

AI Generated Solution

Topper's Solved these Questions

COMPLEX NUMBERS
ARIHANT MATHS|Exercise Exercise For Session 1|6 Videos
COMPLEX NUMBERS
ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos
CIRCLE
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
CONTINUITY AND DIFFERENTIABILITY
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If is any complex number such that |z+4|<=3, then find the greatest value of |z+1|

If |z^2-4|=2|z| then find the greatest value of |z|.

If z is a complex number such that |z|>=2 then the minimum value of |z+(1)/(2)| is

If z is any complex number such that |3z-2|+|3z+2|=4, then identify the locus of z

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

If z is any complex number satisfying |z-3-2i|le 2 , then the maximum value of |2z - 6 + 5 i| is ___

IF |z+4|le3, then the maximum value of |z+1| is

If z is a complex number such that abs(z)le1 then minimum value of abs(z+1/2(3+4i)) is equal to

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)

If z is a any complex number such that |z+4|le3, find the greatest va...
Text Solution
|
If omega is a cube root of unity but not equal to 1, then minimum valu...
Text Solution
|
If one of the vertices of the square circumscribing the circle |z - 1|...
Text Solution
|
If z1 and z2, are two non-zero complex numbers such tha |z1+z2|=|z1...
Text Solution
|
If 1,omega,omega^(2) are the cube roots of unity, then the roots of t...
Text Solution
|
If omega = z//[z-(1//3)i] and |omega| = 1, then find the locus of z.
Text Solution
|
If w=alpha+ibeta where Beta 0 and z ne 1 satisfies the condition that...
Text Solution
|
Find the value of sum(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wher...
Text Solution
|
If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...
Text Solution
|
A man walks a distance of 3 units from the origin towards north-east t...
Text Solution
|
If |z|=1 and z!=+-1, then all the values of z/(1-z^2) lie on
Text Solution
|
If abs(z+4) le 3, the maximum value of abs(z+1) is
Text Solution
|
Let A, B, C be three sets of complex number as defined below: A={z:Img...
Text Solution
|
Let A,B and C be three sets of complex numbers as defined below: {:(,A...
Text Solution
|
Let A,B and C be three sets of complex numbers as defined below: {:(,A...
Text Solution
|
A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...
Text Solution
|
If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...
Text Solution
|
Let z=x+i y be a complex number where xa n dy are integers. Then, the ...
Text Solution
|
Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...
Text Solution
|
If |Z-4/Z|=2 then maximum value of |Z| is equal to
Text Solution
|
Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...
Text Solution
|