Home
Class 12
MATHS
Obtain the Cartesian form of the locus o...

Obtain the Cartesian form of the locus of z = x + iy in each of cases:
|z + i| = |z - 1|

Text Solution

Verified by Experts

The correct Answer is:
`x + y = 0`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.7|6 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.8|10 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.5|10 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise Additional Questions Solved|29 Videos

Similar Questions

Explore conceptually related problems

Obtain the Cartesian form of the locus of z = x + iy in each of cases: Im[1 - i) z + 1] = 0

Obtain the Cartesian form of the locus of z = x + iy in each of cases: bar(z) = z^(-1)

Obtain the Cartesian form of the locus of z = x + iy in each of cases: ["Re" (iz)]^(2) = 3

Obtain the Cartesian equation for the locus of z = x + iy in each of the cases: | z - 4|^(2) - |z-1|^(2) = 16

Obtain the Cartesian equation for the locus of z = x + iy in each of the cases: |z - 4 | = 16

Obtain the Cartesian form of the locus of z in each of the following cases. (i) |z| = |z - i| " " (ii) |2z - 3 - i| = 3