Home
Class 12
MATHS
If |z| lt 4, then |iz+3-4i| is less than...

If `|z| lt 4`, then `|iz+3-4i|` is less than :

A

`4`

B

`5`

C

`6`

D

`9`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If |z|ltsqrt(2)-1 , then |z^(2)+2 z cos alpha| is less than

The inverse of the statement " If an integer is greater than 3 and less than 5 then it is a multiple of 4" is

Describe the sample space for the indicated experiment. Two dice are thrown and the sun of the numbers which come on the dice is less than 4

The least value of n in order that the sum of first n terms of the infinite series 1+3/4+(3/4)^2+(3/4)^3+... , should differ from the sum of the series by less than 10^-6 , is (given log2=0.30103,log3=0.47712)

If |z+4| le 3 , then the maximum value of |z+1| is

Two numbers are chosen from [1,2,3,4,5,6] one after another without replacement . Find the probability that one of the smaller value of two is less than 4 :

The energy gap in case of which of the following is less than 3 eV?

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot

If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the complex plane

Which of the following sets are empty sets? Justify your answer. (i) A={x : x^(2)=4 and 3x=9} (ii) The set of all triangles in a plane having the sum of their three angles less than 180.

MODERN PUBLICATION-COMPLEX NUMBERS-Multiple Choice Questions (Level-II)
  1. The locus of the point satisfying the condition amp. ((z-1)/(z+1))=(pi...

    Text Solution

    |

  2. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

    Text Solution

    |

  3. If |z| lt 4, then |iz+3-4i| is less than :

    Text Solution

    |

  4. The equation not representing a circle is given by

    Text Solution

    |

  5. If alpha+ibeta=tan^(-1)z, z=x+iy and alpha is constant, then locus of ...

    Text Solution

    |

  6. If omega is an imaginary cube root of unity, then the value of (1)/(1+...

    Text Solution

    |

  7. In complex plane, the equation |z+barz|=|z-barz| represents:

    Text Solution

    |

  8. The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...

    Text Solution

    |

  9. If |z(1)|=|z(2)|=|z(3)|=1 and z(1)+z(2)+z(3)=0 , then z(1),z(2),z(3) a...

    Text Solution

    |

  10. (cos2theta+isin2theta)^(-5)(cos3theta-isin3theta)^(6)(sintheta-icosthe...

    Text Solution

    |

  11. If z(1)=9y^(2)-4-10ix, z(2)=8y^(2)+20i, where z(1)=z(2) , then z=x+iy ...

    Text Solution

    |

  12. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

    Text Solution

    |

  13. If |z(1)|=|z(2)|=|z(3)|=|z(4)|, then the points representing z(1),z(2)...

    Text Solution

    |

  14. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

    Text Solution

    |

  15. If alpha,beta are two complex numbers such that |alpha|=1, |beta|=1, t...

    Text Solution

    |

  16. If ((a+ib)^(2))/(a-ib)-((a-ib)^(2))/(a+ib)=x+iy, then x equals

    Text Solution

    |

  17. If alpha is the nth root of unity then 1+2alpha+3alpha^(2)+..............

    Text Solution

    |

  18. If (pi)/(2) lt alpha lt (3pi)/(2), the modulus and argument form of (1...

    Text Solution

    |

  19. If log(1//2).(|z|^(2)+2|z|+4)/(2|z|^(2)+1) lt 0, then the region trace...

    Text Solution

    |

  20. If z(1),z(2),z(3) are the vertices of an equilateral triangle in the A...

    Text Solution

    |