Home
Class 12
MATHS
The system of equations |z+1-i|=sqrt2 an...

The system of equations `|z+1-i|=sqrt2 and |z| = 3` has how many solutions?

A

no solution

B

one solution

C

two solutions

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise NUMRICAL VALUE TYPE FOR JEE MAIN|14 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|90 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

The system of equation |z-1-i|=sqrt(2) and |z|=2 has (A) one solutions (B) two solution (C) three solutions (D) none of these

The system of equation |z+1+i|=sqrt2 and |z|=3} , (where i=sqrt-1 ) has

How many solutions the system of equations ||z + 4 |-|z-3i|| =5 and |z| = 4 has ?

The system of equations x+py=0, y+pz=0 and z+px=0 has infinitely many solutions for

If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite solutions, then the value of equation has no solution is -3 b. 1 c. 0 d. 3

For what value of 'K', the system of equations kx+y+z=1, x+ky+z=k" and "x+y+kz=K^(2) has no solution ?

The system of equations ax-y- z=a-1 ,x-ay-z=a-1,x-y-az=a-1 has no solution if a is:

The system of equations 3x+y-z=0, 5x+2y-3z=0, 15x+6y-9z=5 has (A) no solution (B) a unique solution (C) two distinct solutions (D) infinitely many solutions

For what values of p and q the system of equations 2x+py+6z=8, x+2y+qz=5, x+y+3z=4 has i no solution ii a unique solution iii in finitely many solutions.

For what values of p and q the system of equations 2x+py+6z=8, x+2y+qz=5, x+y+3z=4 has i no solution ii a unique solution iii in finitely many solutions.

VMC MODULES ENGLISH-COMPLEX NUMBERS -LEVEL - 2
  1. The system of equations |z+1-i|=sqrt2 and |z| = 3 has how many soluti...

    Text Solution

    |

  2. tan(ilog((a+ib)/(a-ib)))=

    Text Solution

    |

  3. The value of the expression (1+1/omega)(1+1/omega^(2))+(2+1/omega)(2+...

    Text Solution

    |

  4. If omega is a cube root of unity but not equal to 1, then minimum valu...

    Text Solution

    |

  5. Consider the complex number z = (1 - isin theta)//(1+ icos theta). ...

    Text Solution

    |

  6. Consider the complex number z = (1 - isin theta)//(1+ icos theta). ...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. omega is an imaginary root of unity. Prove that If a+b+c=0, then prove...

    Text Solution

    |

  9. omega is an imaginary root of unity. Prove that If a+b+c=0, then prove...

    Text Solution

    |

  10. The value of (a+bomega+comega^2)/(b+comega+aomega^2)+(a+bomega+comega^...

    Text Solution

    |

  11. For a complex number z the minimum value of |z|+|z-cos alpha-i sin alp...

    Text Solution

    |

  12. If 1,alpha(1),alpha(2),alpha(3),...,alpha(n-1) are n, nth roots of uni...

    Text Solution

    |

  13. If k>0, |z|=|w|=k, and alpha=(z-bar w)/(k^2+zbar(w)), then Re(alpha) ...

    Text Solution

    |

  14. If |z-1|=1, where z is a point on the argand plane, show that(z-2)/(z)...

    Text Solution

    |

  15. Let 1, z(1),z(2),z(3),…., z(n-1) be the nth roots of unity. Then pro...

    Text Solution

    |

  16. If the roots of (z-1)^n=i(z+1)^n are plotted in ten Arg and plane, the...

    Text Solution

    |

  17. If for complex numbers z1 and z2 and |1-bar(z1)z2|^2-|z1-z2|^2=k(1-|z1...

    Text Solution

    |

  18. If |a(i)|lt1lamda(i)ge0 for i=1,2,3,.......nandlamda(1)+lamda(2)+........

    Text Solution

    |

  19. if (tanalpha-i(sin ""(alpha)/(2)+cos ""(alpha)/(2)))/(1+2 i sin ""(alp...

    Text Solution

    |

  20. If sqrt(1-c^(2))=nc-1andz=e^(itheta)," then "(c)/(2n)(1+nz)(1+(n)/(z))...

    Text Solution

    |