Home
Class 12
MATHS
If z=x+i y , then the equation |(2z-i)/(...

If `z=x+i y` , then the equation `|(2z-i)/(z+1)|=m` does not represents a circle, when `m` is (a)`1/2` (b). `1` (c). `2` (d). `3

A

`1//2`

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`|(2z-i)/(z+i)|= m`
`rArr |z-(i)/(m)|= (m)/(2) |z+1|`
This shows that the given equation will represent a circle,if `m//2 ne0, 1, i.e., m ne 0,2`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise LINKED COMPREHENSION TYPE|36 Videos

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise NUMERICAL VALUE TYPES|33 Videos

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise single correct Answer type|92 Videos

  • CIRCLES

    CENGAGE ENGLISH|Exercise Comprehension Type|8 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|101 Videos

Similar Questions

Explore conceptually related problems

If z=x+iy, where i=sqrt(-1) , then the equation abs(((2z-i)/(z+1)))=m represents a circle, then m can be

If z = x + iy, x , y in R , then the louts Im (( z - 2 ) /(z + i)) = (1 ) /(2) represents : ( where i= sqrt ( - 1))

The equation I m((i z-2)/(z-i))+1=0, z & epsi; C , z!=i represents a part of a circle having radius equal to

The locus represented by the equation |z-1| = |z-i| is

If z_1=2-i ,\ z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)| .

If z_1=2-i ,z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)|

If z_1=2-i ,\ z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)|

If z_1=2-i ,z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)|

If the equation |z-z_1|^2 + |z-z_2|^2 =k , represents the equation of a circle, where z_1 = 3i, z_2 = 4+3i are the extremities of a diameter, then the value of k is

If x=3i, y=2i, z=m+I, and i=sqrt(-1) , then the expression xy^(2)z=

CENGAGE ENGLISH-COMPLEX NUMBERS-MULTIPLE CORRECT ANSWERS TYPE
  1. z(1) " and " z(2) are the roots of the equation z^(2)-az+b=0, " where ...

    Text Solution

    |

  2. If |(z-z(1))//(z-z(2))| = 3, where z(1) and z(2) are fixed complex ...

    Text Solution

    |

  3. If z=x+i y , then the equation |(2z-i)/(z+1)|=m does not represents a ...

    Text Solution

    |

  4. System of equaitons |z+3|-|z-3| = 6 and |z-4|=r where r in R^(+) has

    Text Solution

    |

  5. Let the equation of a ray be |z-2|-|z-1-i| = sqrt(2). If it strikes t...

    Text Solution

    |

  6. Given that the two curves a r g(z)=pi/6 and |z-2sqrt(3)i|=r intersect ...

    Text Solution

    |

  7. On the Argand plane ,let z(1) = - 2+ 3z,z(2)= - 2-3z and |z| = 1. T...

    Text Solution

    |

  8. Let S = { z: x = x+ iy, y ge 0,|z-z(0)| le 1}, where |z(0)|= |z(0) - o...

    Text Solution

    |

  9. If P and Q are represented by the complex numbers z(1) and z(2) such ...

    Text Solution

    |

  10. Locus of complex number satisfying "a r g"[(z-5+4i)//(z+3-2i)]=pi//4 i...

    Text Solution

    |

  11. Equation of tangent drawn to circle abs(z)=r at the point A(z(0)), is

    Text Solution

    |

  12. If n is a natural number gt 2, such that z^(n) = (z+1)^(n), then (a) ...

    Text Solution

    |

  13. If |z-(1/z)|=1, then a. (|z|)(m a x)=(1+sqrt(5))/2 b. (|z|)(m in)=(s...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. Let z be a complex number satisfying equation z^p-z^(-q)=0,\ where\ p ...

    Text Solution

    |

  16. Which of the following is true ?

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. z(1),z(2),z(3) and z'(1),z'(2),z'(3) are nonzero complex numbers such...

    Text Solution

    |

  20. Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions....

    Text Solution

    |