Find the number of complex numbers which...

Find the number of complex numbers which satisfies both the equations `|z-1-i|=sqrt(2)a n d|z+1+i|=2.`

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

Find the non-zero complex number z satisfying z =i z^2dot

Find the non-zero complex numbers z satisfying barz =i z^2dot

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0

Number of imaginary complex numbers satisfying the equation, z^2=bar(z)2^(1-|z|) is

Find the complex number z satisfying the equation |(z-12)/(z-8i)|= (5)/(3), |(z-4)/(z-8)|=1

Find the locus of a complex number, z=x +iy , satisfying the relation |(z-3i)/(z+3i)| le sqrt(2) . Illustrate the locus of z in the Argand plane.

Find the locus of the complex number z=x+iy , satisfying relations arg(z-1)=(pi)/(4) and |z-2-3i|=2 .

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions

If |2z-1|=|z-2|a n dz1, z2, z3 are complex numbers such that |z1-alph...
Text Solution
|
If c is positive and 2a x^2+3b x+5c=0 does not have any real roots, th...
Text Solution
|
Find the number of complex numbers which satisfies both the equations ...
Text Solution
|
Let omega be the complex number cos((2pi)/3)+isin((2pi)/3). Then the...
Text Solution
|
If a x^2+b x+6=0 does not have distinct real roots, then find the leas...
Text Solution
|
|z-2-3i|^2+|z-4-3i|^2=lambda represents the equation of the circle wit...
Text Solution
|
Match the statements/expressions given in column I with the values ...
Text Solution
|
A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)...
Text Solution
|
If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot
Text Solution
|
Let a ,b ,c in Q^+ satisfying a > b > c . Which of the following stat...
Text Solution
|
Find number of values of complex numbers omega satisfying the system o...
Text Solution
|
Match the statements in column-I with those I column-II [Note: Here z ...
Text Solution
|
If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of...
Text Solution
|
If |z-i R e(z)|=|z-I m(z)| , then prove that z , lies on the bisectors...
Text Solution
|
For any integer k , let alphak=cos((kpi)/7)+isin((kpi)/7),w h e r e i...
Text Solution
|
If x=1+1/(3+1/(2+1/(3+1/(2)))) a 52/2 b. 55/71 c. 60/52 d. 71/55
Text Solution
|
Show that (x^2+y^2)^4=(x^4-6x^2y^2+y^4)^2+(4x^3y-4x y^3)^2dot
Text Solution
|
Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...
Text Solution
|
Find the values of a for which all the roots of the euation x^4-4x^3-8...
Text Solution
|
If z is any complex number satisfying |z-3-2i|lt=2 then the maximum va...
Text Solution
|