Home
Class 11
MATHS
If the imaginary part of (2z+1)//(i z+1)...

If the imaginary part of `(2z+1)//(i z+1)` is -2, then find the locus of the point representing in the complex plane.

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-1-i|=1 , then the locus of a point represented by the complex number 5(z-i)-6 is

If w=z/[z-1/(3i)] and |w|=1, then find the locus of z

Find the locus of the points representing the complex number z for which |z+5|^2-|z-5|^2=10.

If z=x+iy and |z-1|^(2)+|z+1|^(2)=4, determine the position of the point z in the complex plane.

If z ne 1 and (z^2)/(z-1) is real then the point represented by the complex number z lies

If zne1and(z^(2))/(z-1) is real , then the point represented by the complex number z lies -

Find the locus of point z if z , i ,and iz , are collinear.

Find the modulus of the complex number z=1+i

If arg""(z-1)/(z+1)=(pi)/(4), show that the locus of z in the complex plane is a circle.

If abs(z)gt1 then find the position of the complex no. of z in argand plane.

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z1 is a root of the equation a0z^n+a1z^(n-1)+........+ (a(n-1)) z ...

    Text Solution

    |

  2. If f(x)=(a1x+b1)^2+(a2x+b2)^2+...+(an x+bn)^2 , then prove that (a1b1+...

    Text Solution

    |

  3. If the imaginary part of (2z+1)//(i z+1) is -2, then find the locus of...

    Text Solution

    |

  4. If |2z-1|=|z-2|a n dz1, z2, z3 are complex numbers such that |z1-alph...

    Text Solution

    |

  5. If (cgt 0) and 2ax^2+3bx+5c=0 does not have any real roots, then prove...

    Text Solution

    |

  6. Find the number of complex numbers which satisfies both the equations ...

    Text Solution

    |

  7. Let omega be the complex number cos(2pi/3)+isin(2pi/3) Then the number...

    Text Solution

    |

  8. If a x^2+b x+6=0 does not have distinct real roots, then find the leas...

    Text Solution

    |

  9. |z-2-3i|^2+|z-4-3i|^2=lambda represents the equation of the circle wit...

    Text Solution

    |

  10. Match the statements/expressions given in column I with the values g...

    Text Solution

    |

  11. A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)...

    Text Solution

    |

  12. If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot

    Text Solution

    |

  13. Let a ,b ,c in Q^+ satisfying a > b > c . Which of the following stat...

    Text Solution

    |

  14. Find the complex number satisfying system of equation z^(3)=-((omega))...

    Text Solution

    |

  15. If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of...

    Text Solution

    |

  16. If |z-i R e(z)|=|z-I m(z)| , then prove that z , lies on the bisectors...

    Text Solution

    |

  17. For any integer k let alphak=cos((kpi)/7)+isin((kpi)/7) where i=sqrt(-...

    Text Solution

    |

  18. If x=1+1/(3+1/(2+1/(3+1/(2)))) a 52/2 b. 55/71 c. 60/52 d....

    Text Solution

    |

  19. Show that (x^2+y^2)^4=(x^4-6x^2y^2+y^4)^2+(4x^3y-4x y^3)^2dot

    Text Solution

    |

  20. Let omega=e^(ipi/3),and a,b,c,x,y,z be non zero complex numbers such t...

    Text Solution

    |