Home
Class 12
MATHS
If z = x + iy is a complex number such t...

If z = x + iy is a complex number such that `|(z-4i)/(z+ 4i)|` = 1 show that the locus of z is real axis.

Text Solution

Verified by Experts

The correct Answer is:
y = 0
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise EXERCISE 2.7|12 Videos

  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise EXERCISE 2.8|16 Videos

  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise EXERCISE 2.5|15 Videos

  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS )|5 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    SURA PUBLICATION|Exercise 5 MARKS|4 Videos

Similar Questions

Explore conceptually related problems

If z = + iy is complex number such that Im ((2z + 1)/(iz + 1)) = 0, show that the locus of z is 2x^(2) + 2y^(2) + x - 2y = 0.

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

Knowledge Check

  • If z = x + iy is a complex number such that |z + 2| = |z - 2|, then the locus of z is

    A
    real axis
    B
    imaginary axis
    C
    ellipse
    D
    circle

  • If |(z-i)/(z+i)|=1 , then the locus of z is

    A
    `x=0`
    B
    `y=0`
    C
    `x=1`
    D
    `y=1`

  • If z= x + iy is a complex number such that |z+2|=|z-2| , then the locus of z is

    A
    real axis
    B
    imaginary axis
    C
    ellipse
    D
    circle

    • Similar Questions

    Explore conceptually related problems

    If |z-3+i|=4 , then the locus of z is

    If z is a complex number such that z+|z|=8+ 12i , then the value of |z^2| is equal to

    The locus of z such that |(1+iz)/(z+i)|=1 is

    If z is non zero complex number, such that 2i z^(2) = bar(z), then |z| is

    A point P which represents a complex number Z moves such that |Z-Z_(1)|=|Z-Z_(2)| , then its locus is

    Home
    Profile