Home
Class 11
MATHS
If |z1|=15 and |z2-3-4i|=5,t h e n...

If `|z_1|=15 and |z_2-3-4i|=5,t h e n`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

For all complex numbers z_1,z_2 satisfying |z_1|=12 and |z_2-3-4i|=5 , find the minimum value of |z_1-z_2|

If z_1=5+12 i and |z_2|=4,t h e n

If |z_1|=1a n d|z_2|=2,t h e n Max (|2z_1-1+z_2|)=4 Min (|z_1-z_2|)=1 |z_2+1/(z_1)|lt=3 Min (|z_1=z_2|)=2

If z_1=5+12 ia n d|z_2|=4,t h e n (a) maximum (|z_1+i z_2|)=17 (b) maximum (|z_1+(1+i)z_2|)=13+4sqrt(2) (c) minimum |(z_1)/(z_2+4/(z_2))|=(13)/4 (d) minimum |(z_1)/(z_2+4/(z_2))|=(13)/5

If |z_2+i z_1|=|z_1|+|z_2|a n d|z_1|=3a n d|z_2|=4, then the area of triangleA B C , if affixes of A ,B ,a n dCa r ez_1, z_2, a n d[(z_2-i z_1)/(1-i)] respectively, is 5/2 b. 0 c. (25)/2 d. (25)/4

If z_(1)= 3 + 5i and z_(2)= 2- 3i , then verify that bar(((z_(1))/(z_(2))))= (bar(z)_(1))/(bar(z)_(2))

If a m p(z_1z_2)=0a n d|z_1|=|z_2|=1,t h e n z_1+z_2=0 b. z_1z_2=1 c. z_1=z _2 d. none of these

If z_1 and z_2 lies on |z|=9 and |z-3-4i|=4 respectively, find minimum possible value of |z_1 -z_2| (A) 0 (B) 5 (C) 13 (D) 2

if z_(1)=1-i and z_(2) = -2 + 4i then find Im((z_(1)z_(2))/barz_(1))

If z_(1) = 2+ 3i and z_(2) = 5-3i " then " z_(1)z_(2) is

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If alpha,beta are the roots of lthe equation 2x ^2-3x-6=0, find the eq...

    Text Solution

    |

  2. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R...

    Text Solution

    |

  3. If |z1|=15 and |z2-3-4i|=5,t h e n

    Text Solution

    |

  4. Determine the values o m for which equations 3x^2+4m x+2=0a n d2x^2+3x...

    Text Solution

    |

  5. If z=((sqrt(3)+i)^(17))/((1-i)^(50)) , then find a m p(z)dot

    Text Solution

    |

  6. A rectangle of maximum area is inscribed in the circle |z-3-4i|=1. If ...

    Text Solution

    |

  7. If alpha,beta are the roots of the equation a x^2+b x+c=0, then find t...

    Text Solution

    |

  8. If (3pi)/2 < alpha < 2pi then the modulus argument of (1+cos 2alpha)+i...

    Text Solution

    |

  9. The value of z satisfying the equation logz+logz^2+dot+logz^n=0 i s ...

    Text Solution

    |

  10. If the difference between the roots of the equation x^2+a x+1=0 is les...

    Text Solution

    |

  11. find the differtiation of (i) tan(secx) (ii) sin(tanx)

    Text Solution

    |

  12. Roots of the equation are (z+1)^5=(z-1)^5 are (a) +-itan(pi/5),+-ita...

    Text Solution

    |

  13. Find the value of a for which one root of the quadratic equation (a^2-...

    Text Solution

    |

  14. If |z1-z0|=|z2-z0|=a and amp((z2-z0)/(z0-z1))=pi/2 , then find z0

    Text Solution

    |

  15. Which of the following represents a points in an Argand pane, equidi...

    Text Solution

    |

  16. If the harmonic mean between roots of (5+sqrt(2))x^2-b x+8+2sqrt(5)=0i...

    Text Solution

    |

  17. If n in N >1 , then the sum of real part of roots of z^n=(z+1)^n is...

    Text Solution

    |

  18. If z1, z2, z3, z4 are the affixes of four point in the Argand plane, z...

    Text Solution

    |

  19. Find the values of the parameter a such that the rots alpha,beta of ...

    Text Solution

    |

  20. Solve the equation z^3= z (z!=0)dot

    Text Solution

    |