Home
Class 12
MATHS
Let z be a complex number. If the minim...

Let `z` be a complex number. If the minimum value of `|z|^2+|z-3|^2+|z-3i|^2` is `lambda` , then the value of `6lambda` is (1)`23` (2)` 42` (3)` 72` (4) ` 84`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

For any complex number z find the minimum value of |z|+|z-2i|

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

If z is a complex number, then find the minimum value of |z|+|z-1|+|2z-3|dot

If z is a complex number, then find the minimum value of |z|+|z-1|+|2z-3|dot

Find the minimum value of |z-1| if ||z-3|-|z+1||=2.

Find the minimum value of |z-1 if ||z-3|-|z+1||=2.

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

6.The minimum value of |z-1|+|z-2|+|z-3|+|z-4|+|z-5| is

If z is a complex number such that |z|>=2 then the minimum value of |z+1/2| is

If i^(2)=-1 , then for a complex number Z the minimum value of |Z|+|Z-3|+|Z+i|+|Z-3-2i| occurs at

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the letters of the word SACHIN arranged in all possible ways and th...

    Text Solution

    |

  2. If Aa n dB are two non-singular square matrices obeying commutative ru...

    Text Solution

    |

  3. Let z be a complex number. If the minimum value of |z|^2+|z-3|^2+|z-3...

    Text Solution

    |

  4. The number of solutions of the equation cot(sin x+3)=1, in [0,3pi] i...

    Text Solution

    |

  5. A bag initially contains 1 red and 2 blue balls. An experiment consist...

    Text Solution

    |

  6. Show that |^x Cr^x C(r+1)^x C(r+2)^y Cr^y C(r+1)^y C(r+2)^z Cr^z C(r+1...

    Text Solution

    |

  7. If f(x)=x^(3)+4x^(2)+lambdax+1 is a monotonically decreasing function ...

    Text Solution

    |

  8. The number of solutions of the matrix equation X^(2) = I other than ...

    Text Solution

    |

  9. The det Delta=|[d^2+r, de, df],[ de, e^2+r, ef],[ df, ef, f^2+r]| is ...

    Text Solution

    |

  10. The equation x^(3)-(3)/(4)x=-(sqrt(3))/(8) is satisfied by

    Text Solution

    |

  11. Let PQR be a triangle . Let veca=overline(QR),vecb = overline(RP) and ...

    Text Solution

    |

  12. If A is a non-singular matrix of order nxxn such that 3ABA^(-1)+A=2A^(...

    Text Solution

    |

  13. The number of triangles that can be formed using the vertices of a 20 ...

    Text Solution

    |

  14. If (x)=|[x^2+4x-3 2x+4 13] [2x^2+5x-9 4x+5 26] [ 8x^2-6x+1 16 x-6 104]...

    Text Solution

    |

  15. Let f: R->R be a function defined by f(x)=(e^(|x|)-e^(-x))/(e^x+e^(-x)...

    Text Solution

    |

  16. If vec aa n d vec b are two vectors and angle between them is thet...

    Text Solution

    |

  17. Range of function f(x)=|6sin^(-1)x-pi|+|6cos^(-1)x-pi| is (a)[0,9pi]...

    Text Solution

    |

  18. Let veca and vecc be unit vectors such that |vecb|=4 and vecaxxvecb=2(...

    Text Solution

    |

  19. Given a tetrahedrone D-ABC with AB=12,CD=6. If the shortest distance b...

    Text Solution

    |

  20. The values of lambda and b for which the equations x+y+z=3, x+3y+2z=...

    Text Solution

    |