Home
Class 11
MATHS
The complex numbers z=x+iy which satisfy...

The complex numbers `z=x+iy` which satisfy the equation `|(z-5i)/(z+5i)|=1` lie on (a) The x-axis (b) The straight line `y=5` (c) A circle passing through the origin (d) Non of these

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

The complex number z which satisfies the condition |(i+z)/(i-z)|=1 lies on the (i) y -axis (ii) x-axis (iii) line x+y=1 (iv) circle x^(2)+y^(2)=1

Find the complex number z satisfying the equation |(z-12)/(z-8i)|= (5)/(3), |(z-4)/(z-8)|=1

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

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

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

The complex number which satisfies the condition |(i+z)/(i-z)|=1\ lies on a. circle \x^2+y^2=1 b. the x-axis c. the y-axis d. the line x+y=1

All complex numbers 'z' which satisfy the relation |z-|z+1||=|z+|z-1|| on the complex plane lie on the

If complex number z=x +iy satisfies the equation Re (z+1) = |z-1| , then prove that z lies on y^(2) = 4x .

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0

Find the locus of a complex number, z=x +iy , satisfying the relation |(z-3i)/(z+3i)| le sqrt(2) . Illustrate the locus of z in the Argand plane.

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I...

    Text Solution

    |

  2. How many real solutions does the equation x^7+14 x^5+16 x^3+30 x-560=0...

    Text Solution

    |

  3. The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=...

    Text Solution

    |

  4. Solve sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1.

    Text Solution

    |

  5. The smallest positive integer n for which ((1+i)/(1-i))^n=1 is (a)8...

    Text Solution

    |

  6. Solve sqrt(3x^2-7x-30)+sqrt(2x^2-7x-5)=x+5.

    Text Solution

    |

  7. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

    Text Solution

    |

  8. If x= (7+4sqrt(3)), prove that x+1//x= 14

    Text Solution

    |

  9. Prove that the locus of midpoint of line segment intercepted between ...

    Text Solution

    |

  10. Solve sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1.

    Text Solution

    |

  11. Show that: sum(r=0)^(n-1)|z1+alpha^r z2|^2=n(|z1|^2+|z2|^2),w h e r e,...

    Text Solution

    |

  12. Solve sqrt(x^2+4x-21)+sqrt(x^2-x-6)=sqrt(6x^2-5x-39.)

    Text Solution

    |

  13. If alpha=(z-i)(z+i), show that, when z lies above the real axis, alpha...

    Text Solution

    |

  14. Solve 4^x+6^x=9^xdot

    Text Solution

    |

  15. Let x1, x2 are the roots of the quadratic equation x^2+a x+b=0,w h e r...

    Text Solution

    |

  16. Solve 3^(2x^2-7x+7)=9.

    Text Solution

    |

  17. Plot the region represented by pi/3lt=a r g((z+1)/(z-1))lt=(2pi)/3 in ...

    Text Solution

    |

  18. How many solutions does the equation(8^x + 27^x)/(12^x +18^x) = 7/6hav...

    Text Solution

    |

  19. Is the following computation correct? If not give the correct compu...

    Text Solution

    |

  20. Consider an equilateral triangle having verticals at point A(2/sqrt3 e...

    Text Solution

    |