Home
Class 12
MATHS
If z is a complex number satisfying the ...

If z is a complex number satisfying the equation `|z-(1+i)|^2=2` and `omega=2/z`, then the locus traced by `'omega'` in the complex plane is

A

`x-y-1=0`

B

`x+y-1=0`

C

`x-y+z=0`

D

`x+2y+1=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 76

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 78

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The complex number z satisfying the equation |z-i|=|z+1|=1

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0

If z is a complex number satisfying the equation |z+i|+|z-i|=8, on the complex plane thenmaximum value of |z| is

If z=x+iy is a complex number satisfying |z+(i)/(2)|^(2)=|z-(i)/(2)|^(2), then the locus of z is

The locus of a complex number z satisfying |z-(1+3i)|+|z+3-6i|=4

Find the complex number omega satisfying the equation z^(3)=8i and lying in the second quadrant on the complex plane.

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

If z_(1) ,z_(2) be two complex numbers satisfying the equation |(z_(1)+z_(2))/(z_(1)-z_(2))|=1 , then

NTA MOCK TESTS-NTA JEE MOCK TEST 77-MATHEMATICS
  1. Let L(1):(x-2)/(2)=(y-3)/(-1)=(z-1)/(3),L(2):(x-2)/(-1)=(y-3)/(3)=(z-1...

    Text Solution

    |

  2. The area bounded by y=||x|-1| with the x - axis from x =0 to x=1 is k ...

    Text Solution

    |

  3. If z is a complex number satisfying the equation |z-(1+i)|^2=2 and o...

    Text Solution

    |

  4. The number of ways of arranging 18 boys such that 3 particular boys ar...

    Text Solution

    |

  5. If S=sum(n=1)^(9999)(1)/((sqrtn+sqrt(n+1))(root4(n)+root4(n+1))), then...

    Text Solution

    |

  6. Find the number of solution of the equation cot^(2) (sin x+3)=1 in [0,...

    Text Solution

    |

  7. A special fair cubic die is rolled which has one blue side, two red si...

    Text Solution

    |

  8. If the angles between the vectors veca and vecb, vecb and vecc, vecc a...

    Text Solution

    |

  9. The x - intercept of the common tangent to the parabolas y^(2)=32x and...

    Text Solution

    |

  10. Let A(x)=[(0,x-2,x-3),(x+2,0,x-5),(x+3,x+5,0)], then the matrix A(0)...

    Text Solution

    |

  11. Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the ...

    Text Solution

    |

  12. The domain of definiton of the function f(x)=(1)/(sqrt(x^(12)-x^(9)+x^...

    Text Solution

    |

  13. If f(x)={{:(x^(2),:,"when x is rational"),(2-x,:,"when x is irrational...

    Text Solution

    |

  14. The median of a set of 9 distinct observations is 20.5. If each of the...

    Text Solution

    |

  15. The range of the function y=2sin^(-1)[x^(2)+(1)/(2)]+cos^(-1)[x^(2)-(1...

    Text Solution

    |

  16. Which of the following functions satisfies all contains of the Rolle's...

    Text Solution

    |

  17. Consider the definite integrals A=int(0)^(pi)sinx cosx^(2)xdx and B=in...

    Text Solution

    |

  18. If the circle whose diameter is the major axis of the ellipse (x^(2))/...

    Text Solution

    |

  19. The equation of the curve satisfying the differential equation xe^(x)s...

    Text Solution

    |

  20. Let sqrta+sqrtd=sqrtc+sqrtb and ad=bc, where a, b, c, in R^(+). If the...

    Text Solution

    |