Home
Class 11
MATHS
Where does z lie, if |(z-5i)/(z+5i)|=1?...

Where does z lie, if `|(z-5i)/(z+5i)|=1?`

Text Solution

Verified by Experts

The correct Answer is:
So, z lies on real axis.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (Objective type questions)|16 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|31 Videos

  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|7 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos

Similar Questions

Explore conceptually related problems

When does Z = 1 ?

If |z-1|=1, where is a point on the argand plane, show that |(z-2)/(z)|= tan (argz), where i=sqrt(-1).

Knowledge Check

  • The complex number z= which satisfied the condition |(i+z)/(i-z)|=i lies on

    A
    circle `x^(2)+y^(2)=1`
    B
    the X-axis
    C
    the Y-axis
    D
    the line `x+y=1`

    • Similar Questions

    Explore conceptually related problems

    Let P point denoting a complex number z on the complex plane. i.e. z=Re(z)+i Im(z)," where "i=sqrt(-1) if" "Re(z)=x and Im(z)=y,then z=x+iy .The area of the circle inscribed in the region denoted by |Re(z)|+|Im(z)|=10 equal to

    If |z-i|le5 and z_(1)=5+3i (where, i=sqrt(-1), ) the greatest and least values of |iz+z_(1)| are

    If z is any complex number satisfying abs(z-3-2i) le 2 , where i=sqrt(-1) , then the minimum value of abs(2z-6+5i) , is

    Given that z=1-i

    The mirror image of the curve arg((z-3)/(z-i))=pi/6, i=sqrt(- 1) in the real axis

    Given that |z+2i|=|z-2i|

    Consider the two complex numbers z and w, such that w=(z-1)/(z+2)=a+ib, " where " a,b in R " and " i=sqrt(-1). If z=CiStheta , which of the following does hold good?

    Home
    Profile