Home
Class 11
MATHS
If the real part of (barz+2)/(barz-1) is...

If the real part of `(barz+2)/(barz-1)` is 4 then show that the locus of the point representing z in the complex plane is circle.

Text Solution

Verified by Experts

The correct Answer is:
Hence z lies on the circle.
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|31 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (Match Column & Short Questions)|15 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|16 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

If |z|=2, the points representing the complex numbers -1+5z will lie on

locus of the point z satisfying the equation |z-1|+|z-i|=2 is

The centre of circle represented by |z + 1| = 2 |z - 1| in the complex plane is

If z ne 1 and (z^(2))/(z-1) is real, the point represented by the complex numbers z lies

IF (1+i)z=(1-i)z, then show that z=-barz .

Find the image of the point (1,3,4) in the plane 2x-y +z = -3.

If z=x+iy , then show that z barz+2(z+barz)+b=0 where b in R , represents a circle.

The equation of the locus of points equidistant from (-1-1) and (4,2) is

Let z_(1)andz_(2) be roots of the equation z^(2)+pz+q=0, where the coefficients p and q may be complex numbers . Let A and B represent z_(1)andz_(2) in the complex plane. If angleAOB=alphane0andOA=OB, where O is the origin, prove that p^(2)=4cos^(2)(alpha//2).