Home
Class 12
MATHS
If |z^(2)-1|=|z^(2)|+1, then z lies on...

If `|z^(2)-1|=|z^(2)|+1`, then z lies on

A

a circle

B

the imaginary axis

C

the real axis

D

an ellipse

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If |z-z_(1)|=|z-z_(2)| then the locus of z is :

It z_(1) and z_(2) are two complex numbers, such that |z_(1)| = |z_(2)| , then is it necessary that z_(1) = z_(2) ?

If |z_1|=|z_2|=|z_3|=1 then value of |z_1-z_3|^2+|z_3-z_1|^2+|z_1-z_2|^2 cannot exceed

If |z_(1)+ z_(2)|=|z_(1)|+|z_(2)| , then arg z_(1) - arg z_(2) is

If |z_(1)+z_(2)|=|z_1|+|z_2| then

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^3))^(2)+"……"+(z^(6)+(1)/(z^6))^(2) is

If | z_(1) | = 1, |z_(2)| = 2, |z_(3)| = 3 and |9z_(1)z_(2) + 4z_(1) z_(3) + z_(2) z_(3) = 12|, then the value of |z_(1) + z_(2) + z_(3)| is

If |2z-1|=|z-2|a n dz_1, z_2, z_3 are complex numbers such that |z_1-alpha|lt alpha , |z_2-beta|ltbeta, then= |(z_1+z_2)/ (alpha+beta)| a) lt|z| b.

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If (1-p) is a root of quadratic equation x^(2)+px+(1-p)=0 then its roo...

    Text Solution

    |

  2. If one root of the equation x^(2)+px+12=0 is 4, while the equation x^(...

    Text Solution

    |

  3. Let z, omega be complex numbers such that bar(z)+ibar(omega)=0" and "a...

    Text Solution

    |

  4. If z= x-iy" and "z^(1/3)= p+iq, then (((x)/(p)+(y)/(q)))/((p^(2)+q^(2)...

    Text Solution

    |

  5. If |z^(2)-1|=|z^(2)|+1, then z lies on

    Text Solution

    |

  6. If z(1)" and "z(2) are two non-zero complex numbers such that |z(1)+z(...

    Text Solution

    |

  7. If omega=(z)/(z-(1/3)i)" and "|omega|=1, then z lies on

    Text Solution

    |

  8. If the cube roots of unity are 1, omega, omega^(2) then the roots of t...

    Text Solution

    |

  9. The value of a for which the sum of the squares of the roots of the eq...

    Text Solution

    |

  10. If the both roots of the equation x^(2)-bx+c=0 be two consecutive inte...

    Text Solution

    |

  11. If the both the roots of the quadratic equation x^(2)-2kx+k^(2)+k-5=0 ...

    Text Solution

    |

  12. Find the derivative of x^(n)+ax^(n-1)+a^(2)x^(n-1)+ . . .+a^(n-1)x+a^(...

    Text Solution

    |

  13. If the roots of the quadratic equation x^(2)+px+q=0 are tan 30^(@)" an...

    Text Solution

    |

  14. All the values of m for which both roots of the equation x^(2)-2mx+m^(...

    Text Solution

    |

  15. The value of is sum(k=1)^(10)(sin"" (2k pi)/(11)+ icos ""(2k pi)/(11))...

    Text Solution

    |

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

    Text Solution

    |

  17. If, |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

  18. If the difference between the roots of the equation x^(2)+ax+1=0 is le...

    Text Solution

    |

  19. The quadratic equations x^(2)-6x+a=0" and "x^(2)-cx+6=0 have one root ...

    Text Solution

    |

  20. The conjugate of a complex number is (1)/(i-1). Then that complex numb...

    Text Solution

    |