Home
Class 12
MATHS
If z=(3+7i)(lambda+imu)," when " lambda,...

If `z=(3+7i)(lambda+imu)," when " lambda,mu in I-{0} " and " i=sqrt(-1)`, is purely imaginary then minimum value of `abs(z)^(2)` is

A

0

B

58

C

`3364/3`

D

3364

Text Solution

Verified by Experts

The correct Answer is:
D
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)|12 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 (z-1)/(z-i) is purely imaginary then find the minimum value of abs(z-(3+3i))

If z=(3+7i)(a+ib) , where a , b in Z-{0} , is purely imaginery, then minimum value of |z|^(2) is

If z = (3+ 7i) (a +ib) where a, b in in Z- {0} , is purely imaginary , then the minimum value of |z| is

The minimum value of |Z-1+2i|+|4i-3-z| is

If z is a complex number such that (z-i)/(z-1) is purely imaginary, then the minimum value of |z-(3 + 3i)| is :

If w=(z+4i)/(z+2i) is purely imaginary then find |z+3i|.

If z = (3 + 7i) (p + iq), where p, q el- {0}, is purely imaginary, then minimum value of |z|2 is1 (A) O(A) O(B) 58 (C) 304 (D) 3364(B) 58(D) 3364(C) 3364

arg((z-2)/(z+2))=pi/4 , Find the minimum value of abs(z-9sqrt2-2i)^2

abs(z-(3i+2)) le2 then find the min value of abs(2z-6+5i)

Solve ( sin x + "i" cos x )/( 1 +i),i =sqrt(-1) when it is purely imaginary .

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Single Option Correct Type Questions)
  1. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The system of equations |z+1-i|=sqrt2 and |z| = 3 has

    Text Solution

    |

  8. Dividing f(z) by z-i, we obtain the remainder 1-i and dividing it by z...

    Text Solution

    |

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

    Text Solution

    |

  10. If x=9^(1/3) 9^(1/9) 9^(1/27) ......ad inf y= 4^(1/3) 4^(-1/9) 4^(1/...

    Text Solution

    |

  11. If centre of a regular hexagon is at origin and one of the vertices on...

    Text Solution

    |

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

    Text Solution

    |

  13. If arg ((z(1) -(z)/(|z|))/((z)/(|z|))) = (pi)/(2) and |(z)/(|z|)-z(1)|...

    Text Solution

    |

  14. If abs(z-2-i)=abs(z)abs(sin(pi/4-arg"z")), where i=sqrt(-1), then locu...

    Text Solution

    |

  15. If ,Z1,Z2,Z3,........Z(n-1) are n^(th) roots of unity then the value ...

    Text Solution

    |

  16. If z=(3+7i)(lambda+imu)," when " lambda,mu in I-{0} " and " i=sqrt(-1...

    Text Solution

    |

  17. Given z=f(x)+ig(x)w h e r ef,g:(0,1)vec(0,1) are real valued functions...

    Text Solution

    |

  18. If z^(3)+(3+2i)z+(-1+ia)=0, " where " i=sqrt(-1), has one real root, t...

    Text Solution

    |

  19. If m and n are the smallest positive integers satisfying the relation ...

    Text Solution

    |

  20. Number of imaginary complex numbers satisfying the equation, z^2=bar(z...

    Text Solution

    |