Home
Class 12
MATHS
The value of (z+3) (barz+3) is equal to ...

The value of `(z+3) (barz+3)` is equal to (i) `|z +3|^(2)` (ii) `|z-3|` (iii) `z^(2)+3` (iv) none of these

A

`|z + 3|^(2)`

B

`|z-3|`

C

`z^(2) + 3`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|90 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|50 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

The value of (z + 3) (barz + 3) is equivlent to (A) |z+3|^(2) (B) |z-3| (C) z^2+3 (D) none of these

If z is a non zero complex, number then |(|barz |^2)/(z barz )| is equal to (a). |(barz )/z| (b). |z| (c). |barz| (d). none of these

The minimum value of |3z-3|+|2z-4| equal to

If z = ((1+i)^(2))/(alpha-i) , alpha in R has magnitude sqrt((2)/(5)) then the value of alpha is (i) 3 only (ii) -3 only (iii) 3 or -3 (iv) none of these

Number of solutions of the equation z^(2)+|z|^(2)=0 is (i) 1 (ii) 2 (iii) 3 (iv) infinitely many

If z_(1) = 4 -I and z_(2) = - 3 + 7i then find (i) z_(1) +z_(2) (ii) z_(1) -z_(2)

If z_1,z_2,z_3 are complex number , such that |z_1|=2, |z_2|=3, |z_3|=4 , the maximum value |z_1-z_2|^(2) + |z_2-z_3|^2 + |z_3-z_1|^2 is : (a) 58 (b) 29 (c) 87 (d) none of these

If z = 3 -2i then the value s of (Rez) (Im z)^(2) is

If z = (1)/((2-3i)^(2)) then |z| is equal to

if z=3 -2i, then verify that (i) z + barz = 2Rez (ii) z - barz = 2ilm z

VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
  1. The value of (z+3) (barz+3) is equal to (i) |z +3|^(2) (ii) |z-3| (i...

    Text Solution

    |

  2. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

    Text Solution

    |

  3. If z is a complex number such that |z|geq2 , then the minimum value...

    Text Solution

    |

  4. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

    Text Solution

    |

  5. Let z be a complex number such that the imaginary part of z is nonz...

    Text Solution

    |

  6. Let z = x + iy be a complex number where x and y are integers. Then...

    Text Solution

    |

  7. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

    Text Solution

    |

  8. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  9. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  13. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  14. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  15. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  16. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. If z is complex number of unit modulus and argument theta then arg ...

    Text Solution

    |

  19. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

    Text Solution

    |

  20. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  21. A man walks a distance of 3 units from the origin towards the North-...

    Text Solution

    |