Home
Class 12
MATHS
The value of (z+3)(bar(z)+3) is equivale...

The value of `(z+3)(bar(z)+3)` is equivalent to

A

`|z+3|^(2)`

B

`|z-3|`

C

`z^(2)+3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

If z=-1 , the principal value of arg. (z^(2//3)) is equal to :

In the given figure three lines bar(AB) , bar(CD) and bar(EF) intersecting at O. Find the values of x, y and z it is being given that x : y : z = 2 : 3 : 5

Write the value of a r g(z)+a r g( bar(z) ) .

If (3+i)(z+bar(z))-(2+i)(z-bar(z))+14i=0 , where i=sqrt(-1) , then z bar(z) is equal to

The value of a for which the system of equations a^3 x+(a+1)^3y+(a+2)^3 z=0 a x+(a+1) y+(a+2) z=0 x+y+z=0 has a non-zero solution is

If |z|=1 and z ne pm 1 , then all the values of (z)/(1-z^(2)) lie on

Find the value of x, y and z from the following equations: (i) [(4,3),(x,5)]=[(y,z),(1,5)] (ii) [(x+y, 2 ),(5+z, xy)]=[(6,2),(5,8)] (iii) [(x+y+z),(x+z), (y+z)]=[(9),(5),(7)]

The locus of z , which satisfies the inequality log_(0.3)|z-1| gt log_(0.3)|z-i| is given by :

The maximum value of |z| when z satisfies the condition |z+(2)/(z)|=2 is

If z_(1),z_(2),z_(3) are complex numbers such that : |z_(1)|=|z_(2)|=|z_(3)|=|(1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))|=1 , then |z_(1)+z_(2)+z_(3)| is equal to

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. A real value of x satisfies the equation (3-4 i x)/(3+4 i x)=alpha-i b...

    Text Solution

    |

  2. If ((1+i)/(1-i))^(x)=1, then x=

    Text Solution

    |

  3. The value of (z+3)(bar(z)+3) is equivalent to

    Text Solution

    |

  4. If z=x+ iy lies in the third quadrant then, (barz)/(z) also lies in th...

    Text Solution

    |

  5. The real value of alpha for which the expression (1-i sin alpha)/(1+2 ...

    Text Solution

    |

  6. sin x+i cos 2 x and cos x-i sin 2 x are conjugate to each other for,

    Text Solution

    |

  7. |(1)/((2+i)^(2))-(1)/((2-i)^(2))|

    Text Solution

    |

  8. ((1-i)/(1+i))^(2)=

    Text Solution

    |

  9. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

    Text Solution

    |

  10. If ((1+i)/(1-i))^(m)=1, then the least positive integral value of m is

    Text Solution

    |

  11. If omega is a cube roots of unity then (1-omega)(1-omega^(2))(1-omega^...

    Text Solution

    |

  12. If (1+i) (1+2i) (1+3i) ….. (1+ni ) = x+iy then 2.5.10 …. (1+n^(2))=

    Text Solution

    |

  13. If z=1+i then the multiplicative inverse of z^(2) is

    Text Solution

    |

  14. If x+i y=sqrt((a+i b)/(c+i d)) then (x^(2)+y^(2))^(2)=

    Text Solution

    |

  15. If a=cos theta+i sin theta then (1+a)/(1-a)=

    Text Solution

    |

  16. The modulus and amplitude of (1 + i)/(1-i) are

    Text Solution

    |

  17. If we express ((cos 2 theta-i sin 2 theta)^(4)(cos 4 theta+i sin 4 ...

    Text Solution

    |

  18. In the argand diagram the points representing the complex numbers 7 + ...

    Text Solution

    |

  19. 1, omega, omega^(2) are cube roots of unit x, then their product is

    Text Solution

    |

  20. The conjugate of ((2 + i)^(2))/(3+i) in the form of a + ib is

    Text Solution

    |