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

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If z=i log(2-sqrt3), then cosz= a. -1 b. (-1)/2 c. 1 d. 2

The locus represented by the equation abs(z-1)=abs(z-i) is

If z_1=3+i,z_2=1-3i , then find barz_1.barz_2

If z_1=1-3i,z_2=1+i , then find barz_1.barz_2

If z_1=3+2i,z_2=2-i , then find barz_1.barz_2

Prove that |z-z_1|^2+|z-z_2|^2=k will represent a real circle with center ((z_1+z_2)/2) on the Argand plane if 2kgeq|z_1-z_2|^2

If (1+i)^2 /(3 - i) =Z , then Re(z) =

If z=x+iy and |2z+1|=|z-2i|,then prove that 3(x^2+y^2)+4(x+y)=3

|z-2-3i|^2+|z-4-3i|^2=lambda represents the equation of the circle with least radius. find the value of lambda

If z=2-3i, express (1-2z)/(z-3) in the form A+iB where A and B are real.

CENGAGE PUBLICATION-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+iy be a complex number where x and y are integers then the are...

    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 ea...

    Text Solution

    |

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

    Text Solution

    |

  13. If absz=1 and z ne+-1 then all the values of z/(1-z^2) lie on

    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. Let ...

    Text Solution

    |

  17. Let z1 and z2 be complex numbers such that z1 nez2 and absz1=absz2 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

    |