Home
Class 12
MATHS
The complex number z satisfying the equa...

The complex number z satisfying the equation `|z-i|=|z+1|=1` is

A

0

B

1+i

C

`-1+i`

D

1-i

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2017 (UNIT-4)|13 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2017 (UNIT-7)|1 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2017 (UNIT-2)|1 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

The complex number z satisfying the question |(i -z)/(i+z)|=1 lies on-

If the complex number z satisfies the equations |z-12|/|z-8i|=(5)/(3) and |z-4|/|z-8| =1, "find" z.

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

Find the complex number omega satisfying the equation z^3=8i and lying in the second quadrant on the complex plane.

A complex number z satisfies the equation |Z^(2)-9|+|Z^(2)|=41 , then the true statements among the following are

Consider the region R in the Argand plane described by the complex number. Z satisfying the inequalities |Z-2| le |Z-4| , |Z-3| le |Z+3| , |Z-i| le |Z-3i| , |Z+i| le |Z+3i| Answer the followin questions : Minimum of |Z_(1)-Z_(2)| given that Z_(1) , Z_(2) are any two complex numbers lying in the region R is

Let z be a complex number satisfying the equation z^2-(3+i)z+m+2i=0\ ,where m in Rdot . Suppose the equation has a real root. Then find the value of m

If z is a complex number satisfying the equation z^6 +z^3 + 1 = 0 . If this equation has a root re^(itheta) with 90^@<0<180^@ then the value of theta is

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

The maximum value of |z| when the complex number z satisfies the condition |z+(2)/(z)|=2 is -