Home
Class 11
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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 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 AND QUADRATIC EQUATIONS-All Questions
  1. Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions....

    Text Solution

    |

  2. Let a ,b and c be real numbers such that a+2b+c=4 . Find the maximum v...

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that for real values of x ,(a x^2+3x-4)//(3x-4x^2+a) may have a...

    Text Solution

    |

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

    Text Solution

    |

  6. Let x^2-(m-3)x+m=0 (m epsilon R) be a quadratic equation . Find the va...

    Text Solution

    |

  7. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It ...

    Text Solution

    |

  8. Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.

    Text Solution

    |

  9. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

    Text Solution

    |

  10. The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2...

    Text Solution

    |

  11. A man walks a distance of 3 units from the origin towards the North-...

    Text Solution

    |

  12. Find the values of a for whilch the equation sin^4x+asin^2x+1=0 will h...

    Text Solution

    |

  13. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on (a)a l...

    Text Solution

    |

  14. Find all the value of m for which the equation sin^2x-(m-3)sinx+m=0 ...

    Text Solution

    |

  15. Let A(z1) and (z2) represent two complex numbers on the complex plan...

    Text Solution

    |

  16. If the difference between the roots of the equation x^2+""a x""+""1...

    Text Solution

    |

  17. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

    Text Solution

    |

  18. Find the condition if the roots of a x^2+2b x+c=0 and b x^2-2sqrt(a c ...

    Text Solution

    |

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

    Text Solution

    |

  20. Solve (x^2-5x+7)^2-(x-2)(x-3)=1.

    Text Solution

    |