Home
Class 12
MATHS
The locus of the center of a circle whic...

The locus of the center of a circle which touches the circles `|z-z_1|=a, |z-z_2=b|` externally will be

A

an ellipse

B

a hyperbola

C

a circle

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
b
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Exercise|131 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

Similar Questions

Explore conceptually related problems

The locus of the center of a circle which touches the circles |z-z_(1)|=a,z-z_(2)=b| externally will be

The locus of the centre of a circle,which touches the circles |z-z_1|=a and |z-z_2|=b externally can be

Knowledge Check

  • If z lies on the circle |z-1|=1 , then (z-2)/z is

    A
    purely real
    B
    Purely imaginary
    C
    positive real
    D
    hyperbola
  • If z is a point on the circle |z-1|=1, then arg z =

    A
    `arg|z-1|`
    B
    `(1)/(2)arg(z-1)`
    C
    `arg(z^(2)-z)`
    D
    `(1)/(3)arg(z^(2)-z)`
  • Similar Questions

    Explore conceptually related problems

    The locus of the centre of a circle which touches the given circles |z -z_(1)| = |3 + 4i| and |z-z_(2)| =|1+isqrt3| is a hyperbola, then the lenth of its transvers axis is ……

    Locus of the centre of the circle touching circles |z|=3 and |z-4|=1 externally is (A) a parabola (B) a hyperbola (C) an ellipse (D) none of these

    The locus of the centre of a variable circle touching circle |z|=5 internally and circle |z-4|=1 externally is (A) a parabola (B) a hyperbola (C) an ellipse (D) none of these

    If |z|=2, then locus of -1+5z is a circle whose centre is

    X and Y are centres of circles of radius 9 and 2 cm respechvely . XY = 17 z is the centre of a circle of radiusr cm which touch circle externally given then LXZY = 90^(@) . find the value of x of z

    If the circle |z-1|=3 and |z-z_(0)|=4 intersect orthogonally,then