Home
Class 12
MATHS
If (3+i)(z+bar(z))-(2+i)(z-bar(z))+14i=0...

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

A

(a)10

B

(b)8

C

(c)-9

D

(d)-10

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|11 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 4|14 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If (3+i)(z+bar z)-(2+i) (z- bar z)+14i=0 , then z bar z =

If z=(i) ^((i) ^(i)) where i= sqrt (−1) ​ , then z is equal to

If z=ilog_(e)(2-sqrt(3)),"where"i=sqrt(-1) then the cos z is equal to

The equation z^(2)-i|z-1|^(2)=0, where i=sqrt(-1), has.

If z = (sqrt(3+i))/2 (where i = sqrt(-1) ) then (z^101 + i^103)^105 is equal to

If z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqrt(-1), then Find the value of Im(z) .

If Z=7+24i, them |Z| is equal to:

If |z-2i|lesqrt(2), where i=sqrt(-1), then the maximum value of |3-i(z-1)|, is

If z= sqrt3+i , then the argument of z^2 e^(z-i) is equal to :

Prove that : z= bar(z) iff z is real.

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Single Option Correct Type Questions)
  1. If z and bar z represent adjacent vertices of a regular polygon of n s...

    Text Solution

    |

  2. If prod(p=1)^(r) e^(iptheta)=1, where prod denotes the continued produ...

    Text Solution

    |

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

    Text Solution

    |

  4. The centre of a square ABCD is at z=0, A is z(1). Then, the centroid o...

    Text Solution

    |

  5. Evaluate int(0)^(π/4)(tan^2x -sec^2x)dx

    Text Solution

    |

  6. Let alpha and beta be two fixed non-zero complex numbers and 'z' a var...

    Text Solution

    |

  7. Evaluate int(0)^(1)1/(x^2+1)dx

    Text Solution

    |

  8. Evaluate int1/(x^2+25)dx

    Text Solution

    |

  9. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

    Text Solution

    |

  10. If the points represented by complex numbers z(1)=a+ib, z(2)=c+id " an...

    Text Solution

    |

  11. Let C and R denote the set of all complex numbers and all real numb...

    Text Solution

    |

  12. Let alpha and beta be two distinct complex numbers, such that abs(alph...

    Text Solution

    |

  13. The complex number z satisfies thc condition |z-25/z|=24. The maximum ...

    Text Solution

    |

  14. The points A,B and C represent the complex numbers z(1),z(2),(1-i)z(1)...

    Text Solution

    |

  15. Find the 6th term of A.P if a=1 , d=2

    Text Solution

    |

  16. Find the 3rd term of A.P if a=1 , d=2

    Text Solution

    |

  17. The centre of circle represented by |z + 1| = 2 |z - 1| in the complex...

    Text Solution

    |

  18. If x=9^(1/3) 9^(1/9) 9^(1/27) ......and if y= 4^(1/3) 4^(-1/9) 4^(1/...

    Text Solution

    |

  19. Find the 5th term of A.P if a=1 , d=2

    Text Solution

    |

  20. Let |Z(r) - r| le r, Aar = 1,2,3….,n. Then |sum(r=1)^(n)z(r)| is less ...

    Text Solution

    |