Home
Class 12
MATHS
If |z + 1| = sqrt2 | z- 1| and z is a co...

If `|z + 1| = sqrt2 | z- 1|` and z is a complex number , then the locus of z is

A

straight line

B

a circle

C

an ellipse

D

a parabola

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE -II|126 Videos
  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

If |z-1| = 2 then the locus of z is

If z+1/z=1 and z be any complex number,then the value of z^(99)+(1)/(z^(99)) is

If z^(2)+z+1=0 where z is a complex number, then the value of (z+(1)/(z))^(2)+(z^(2)+(1)/(z^(2)))^(2)+(z^(3)+(1)/(z^(2)))^(2)+..........+(z^(6)+(1)/(z^(6)))^(2)

If a point p dentes a complex number z=x+iy in the argand plane and if (z+1)/(z+i) is a purely real number , then the locus of p is

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

If z^(2) + z + 1 = 0 , where z is a complex number , prove that ( z + 1/z)^(2) + ( z^(2) + 1/z^(2)) + (z^(3) + 1/z^(3))^(2) + (z^(4) + 1/z^(4))^(2) + (z^(5) + 1/z^(5)) ^(2) + ( z^(6) + 1/z^(6)) = 12 .

If a is real number such that |z-ai|=|z+ai| , then the locus of z is

If |z -1| lt 2 |z - 2| then the locus of z = x + iy is

If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is