Home
Class 11
MATHS
z^2+zabsz+absz^2=0 then the locus of z i...

`z^2+zabsz+absz^2=0` then the locus of z is

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 be any complex number such that abs(3z-2)+abs(3z+2)=4 then locus of z is

Let z_1,z_2 be two fixed complex numbers in the Argand plane and z be an arbitary point satisfying abs(z-z_1)+abs(z-z_2)=2abs(z_1-z_2) then the locus of z will be

If abs(z+barz)=abs(z-barz) , then the locus of z is

If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 then the value of absz^4 is

If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is

A point P which represents a complex number z, moves such that |z-z_(1)|= |z-z_(2)|, then the locus of P is-

If abs(z-2-i)=abszabssin(pi/4-argz) then locus of z is

if amp (z-1)/(z+1)=pi/3 , then the locus of z is

If z is complex number, then the locus of z satisfying the condition |2z-1|=|z-1| is (a)perpendicular bisector of line segment joining 1/2 and 1 (b)circle (c)parabola (d)none of the above curves

If iz^3+z^2-z+i=0 then the value of abs(z) is

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Express the following complex numbers in a+i b form: ((3-2i)(2+3i))/((...

    Text Solution

    |

  2. If a ,b ,c are nonzero real numbers and a z^2+b z+c+i=0 has purely i...

    Text Solution

    |

  3. z^2+zabsz+absz^2=0 then the locus of z is

    Text Solution

    |

  4. If the sum of the roots of the equation 1/(x+a)+1/(x+b)=1//c is zero,...

    Text Solution

    |

  5. Solve the equation x^2+p x+45=0. it is given that the squared differen...

    Text Solution

    |

  6. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

    Text Solution

    |

  7. z1a n dz2 lie on a circle with center at the origin. The point of inte...

    Text Solution

    |

  8. If alpha,beta are the roots of the equation 2x^2-35x+2=0 , the find ...

    Text Solution

    |

  9. If one root of the equation z^2-a z+a-1= 0 is (1+i), where a i...

    Text Solution

    |

  10. If |z1|=|z2|=|z3|=1 and z1+z2+z3=0 then the area of the triangle whose...

    Text Solution

    |

  11. Simplify: (sqrt(5+12 i)+sqrt(5-12 i))/(sqrt(5+12 i)-sqrt(5-12 i))

    Text Solution

    |

  12. Find a quadratic equation whose product of roots x1 and x2 is equa...

    Text Solution

    |

  13. If sqrt(5-12 i)+sqrt(-5-12 i)=z , then principal value of a rgz can be

    Text Solution

    |

  14. If (x+i y)(p+i q)=(x^2+y^2)i , prove that x=q ,y=pdot

    Text Solution

    |

  15. If a and b(!=0) are the roots of the equation x^2+a x+b=0, then find...

    Text Solution

    |

  16. Let A ,B ,C ,D be four concyclic points in order in which A D : A B=C ...

    Text Solution

    |

  17. Convert (1+3i)/(1-2i) into the polar form.

    Text Solution

    |

  18. If the sum of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0 is ...

    Text Solution

    |

  19. Let the altitudes from the vertices A, B and C of the triangle ABC me...

    Text Solution

    |

  20. For |z-1|=1, show that tan{[a r g(z-1)]/2}-((2i)/z)=-i

    Text Solution

    |