Home
Class 12
MATHS
If z1=5+12 ia n d|z2|=4,t h e n (a) max...

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`

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

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

If |z_1|=15 and |z_2-3-4i|=5,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=2−3i then z ^2−4z+13=

If z_(1)=5+2i and z_(2)=2 +i ,verify (i) |z_(1)z_(2)|= |z_(1)||z_(2)|

If |z-25i|le15 , then find (i) Maximum |z| (2) Maximum arg (z) (3) minimum |z| (4) Minimum arg (z)

If z_1=7+6i,z_2=2+2i and z_3=1-4i then find z_1-z_2+z_3

If |z_1+z_2|=|z_1-z_2| and |z_1|=|z_2|, then (A) z_1=+-iz_2 (B) z_1=z_2 (C) z_=-z_2 (D) z_2=+-iz_1

If z_(1)=3 + 4i,z_(2)= 8-15i , verify that |(z_(1))/(z_(2))|= (|z_(1)|)/(|z_(2)|)

If |z_1|=|z_2|=1, then prove that |z_1+z_2| = |1/z_1+1/z_2∣

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If vec aa n d vec b are any two unit vectors, then find the greate...

    Text Solution

    |

  2. Which of the following sets are equal ? A={x:x inN,xlt4},B=(1,1,2,3,...

    Text Solution

    |

  3. If z1=5+12 ia n d|z2|=4,t h e n (a) maximum (|z1+i z2|)=17 (b) maxim...

    Text Solution

    |

  4. Are the following pairs of sets equal? A={1,4,8, 16 , 64},B={x : x is ...

    Text Solution

    |

  5. Consider a real valued continuous function f such that f(x)=sinx + int...

    Text Solution

    |

  6. A rod of length 2units whose one end is (1, 0, -1) and other end touch...

    Text Solution

    |

  7. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

    Text Solution

    |

  8. a1, a2, a3, in R-{0} and a1+a2cos2x+a3sin^2x=0fora l lx in R , the...

    Text Solution

    |

  9. The line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 i...

    Text Solution

    |

  10. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

    Text Solution

    |

  11. Let f(x)=x+sqrt(x^2+2x) and g(x)=sqrt(x^2+2x-x) , then which of the ...

    Text Solution

    |

  12. Let X={1,2,3, , 10},A={1,2,3,4,5},B={1,3,5,7,9}a n dC={2,4,8, 10} , v...

    Text Solution

    |

  13. Two cards are drawn one by one without replacement from a deck of 5...

    Text Solution

    |

  14. Let X={1,2,3, ... , 10},A={1,2,3,4,5},B={1,3,5,7,9}a n dC={2,4,8, 10} ...

    Text Solution

    |

  15. An insurance company believes that people can be divided into two cl...

    Text Solution

    |

  16. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  17. A bag contains some white and some black balls, all combinations of ba...

    Text Solution

    |

  18. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  19. A line L passing through the point P(1,4,3), is perpendicular to b...

    Text Solution

    |

  20. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

    Text Solution

    |