Home
Class 12
MATHS
The curve represented by |z| = Re(z) + 2...

The curve represented by |z| = Re(z) + 2 is

A

a straight line

B

a circle

C

an ellipse

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - S|2 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 2 (LEVEL -I) OBJECTIVE PROBLEMS - JEE MAIN|21 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - L|12 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

Similar Questions

Explore conceptually related problems

The curve represented by Re(z^(2))=4

Let C_(1) be the curve represented by (2z + i)/(z-2) is purely imaginary, and C_(2) be the curve represented by arg ((z+i)/(z+1))=(pi)/(2) . Let m = slope of the common chord of C_(1) and C_(2) , then |m| is equal to ___________.

The region represented by RE(z)<=2,Im(z)<=2 and (pi)/(8)<=arg(z)<=(3 pi)/(8) lies in

The region represented by {z=x+iy in C:|z|-"Re"(z) le 1} is also given by the inequality :

Re((z+4)/(2z-1))=(1)/(2), then z is represented by a point lying on

Let z_1=3 and z_2=7 represent two points A and B respectively on complex plane . Let the curve C_1 be the locus of pint P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =10 and the curve C_2 be the locus of point P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =16 Least distance between curves C_1 and C_2 is :

If z, z _1 and z_2 are complex numbers such that z = z _1 z_2 and |barz_2 - z_1| le 1 , then maximum value of |z| - Re(z) is _____.