Home
Class 11
MATHS
|z-4| < |z-2| represents the region give...

`|z-4| < |z-2|` represents the region given by:

(a) `Re(z) > 0`

(b) `Re(z) < 0`

(c) `Re(z) > 3`

(d) None of these

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

The lines which intersect the skew lines y=m x ,z=c ; y=-m x ,z=-c and the x-axis lie on the surface: (a.) c z=m x y (b.) x y=c m z (c.) c y=m x z (d.) none of these

If k>0 , |z|=|w|=k , and alpha=(z-bar w)/(k^2+zbar(w)) , then Re(alpha) (A) 0 (B) k/2 (C) k (D) None of these

If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition that ((w- bar w z)/(1-z)) is a purely real, then the set of values of z is |z|=1,z!=2 (b) |z|=1a n dz!=1 (c) z=bar z (d) None of these

If a,x,b are in A.P.,a,y,b are in G.P. and a,z,b are in H.P. such that x=9z and a>0, b>0, then (a) y=3z. (b) x=3y (c) 2y= x+z (d) none of these

If z is a complex number such that -pi//2lt=a r g zlt=pi//2, then which of the following inequality is true? a. |z- z |lt=|z|(a r g z-a r g z ) b. |z- z |geq|z|(a r g z-a r g z ) c. |z- z | d. none of these

If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a set of four lines (c) a circle (d) None of these

The points, z_1,z_2,z_3,z_4, in the complex plane are the vertices of a parallelogram taken in order, if and only if (a) z_1+z_4=z_2+z_3 (b) z_1+z_3=z_2+z_4 (c) z_1+z_2=z_3+z_4 (d) None of these

If |z^2-3|=3|z| , then the maximum value of |z| is a. 1 b. (3+sqrt(21))/2 c. (sqrt(21)-3)/2 d. none of these

If x ,y ,z are positive numbers is AdotPdot,t h e n (a) y^2geqx z (b) x y+y zgeq2x z (c) (x+y)/(2y-x)+(y+z)/(2y-z)geq4 (d) none of these

If |z_1/z_2|=1 and arg (z_1z_2)=0 , then a. z_1 = z_2 b. |z_2|^2 = z_1*z_2 c. z_1*z_2 = 1 d. none of these

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. z=x+iy and w=(1-iz)/(1+iz) and |w|=1 ,prove that z is purely real

    Text Solution

    |

  2. Let ...

    Text Solution

    |

  3. |z-4| < |z-2| represents the region given by: (a) Re(z) > 0 (b) Re...

    Text Solution

    |

  4. Draw the graph of y=x^(4)+2x^(2)-8x+3 Find the number of real roots ...

    Text Solution

    |

  5. If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 ...

    Text Solution

    |

  6. How many real solutions does the equation x^7+14x^5+16x^3+30x-560=0 h...

    Text Solution

    |

  7. The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=...

    Text Solution

    |

  8. Solve sqrt(3x^2-7x-30)-sqrt(2x^2-7x-5)=x-5.

    Text Solution

    |

  9. The smallest positive integer n for which ((1+i)/(1-i))^n=1 is (a)8...

    Text Solution

    |

  10. Solve sqrt(3x^2-7x-30)-sqrt(2x^2-7x-5)=x-5.

    Text Solution

    |

  11. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

    Text Solution

    |

  12. If x= (7+4sqrt(3)), prove that x+1//x= 14

    Text Solution

    |

  13. Prove that the locus of midpoint of line segment intercepted between ...

    Text Solution

    |

  14. Solve sqrt(5x^2-6x+8)+sqrt(5x^2-6x-7)=1.

    Text Solution

    |

  15. Show that: sum(r=0)^(n-1)|z1+alpha^r z2|^2=n(|z1|^2+|z2|^2),w h e r e,...

    Text Solution

    |

  16. Solve sqrt(x^2+4x-21)+sqrt(x^2-x-6)=sqrt(6x^2-5x-39.)

    Text Solution

    |

  17. If alpha=(z-i)/(z+i), show that, when z lies above the real axis, alph...

    Text Solution

    |

  18. Solve 4^x+6^x=9^xdot

    Text Solution

    |

  19. Let x1, x2 are the roots of the quadratic equation x^2+a x+b=0,w h e r...

    Text Solution

    |

  20. Solve 3^(2x^2-7x+7)=9.

    Text Solution

    |