Home
Class 12
MATHS
Suppose z=x+iy where x and y are real nu...

Suppose `z=x+iy` where x and y are real numbers and `i=sqrt(-1)`. The points (x, y) for which `(z-1)/(z-i)` is real, lie on

A

an ellipse

B

a circle

C

a parabola

D

a straight line

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Suppose z=x+iy where x and y are real numbers and i=sqrt(-1) . The points (x ,y) for which (z-1)/(z-i) is real . Lie om -

Let z=x+iy , where x and y are real. The points (x,y) in the xy-plane of which (z+1)/(z-1) is purely imaginary, lie on

If x , y are real and x+iy=-i(-2+3i) , then (x , y) is -

If x ,y and z are positive real umbers and x=(12-yz)/(y+z) . The maximum value of x y z equals.

Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbers then y-x equals

Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-24i.

Find the real numbers x and y if (x-iy) (3+5i) is the conjugate of -6 - 24 i .

The locus of z=x+iy satisfying |(z-i)/(z+i)|=1

The locus of z=x+iy satisfying |(z-i)/(z+i)|=2

Find the possible octants where the point (x,y,z)may lie for z-y=0

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. If one end of a diameter of the circle 3x^(2)+3y^(2)-9x+6y+5=0 is (1, ...

    Text Solution

    |

  2. The value of cos^(2)75^(@)+cos^(2)45^(@)+cos^(2)15^(@)-cos^(2)30^(@)-c...

    Text Solution

    |

  3. Suppose z=x+iy where x and y are real numbers and i=sqrt(-1). The poin...

    Text Solution

    |

  4. The equation 2x^(2)+5xy-12y^(2)=0 represents a

    Text Solution

    |

  5. The line y=x intersects the hyperbola (x^(2))/(9)-(y^(2))/(25)=1 at th...

    Text Solution

    |

  6. The equation of the circle passing through the point (1, 1) and the po...

    Text Solution

    |

  7. Six positive numbers are in G.P., such that their product is 1000. If ...

    Text Solution

    |

  8. In the set of all 3xx3 real matrices a relation is defined as follows....

    Text Solution

    |

  9. The number of lines which pass through the point (2, -3) and are a dis...

    Text Solution

    |

  10. If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0 a...

    Text Solution

    |

  11. For any two real numbers a and b, we define a R b if and only if sin^(...

    Text Solution

    |

  12. Let n be a positive even integer. The ratio of the largest coefficient...

    Text Solution

    |

  13. Let exp (x) denote the exponential function e^(x). If f(x)=exp(x^((1)/...

    Text Solution

    |

  14. The sum of the series (1)/(1xx2)""^(25)C(0)+(1)/(2xx3)""^(25)C(1)+(1)...

    Text Solution

    |

  15. Five numbers are in A.P, with common difference ne 0. If the 1^(st), 3...

    Text Solution

    |

  16. The minimum value of the function f(x)=2|x-1|+|x-2| is

    Text Solution

    |

  17. If P, Q, R are angles of an isoseles triangle and angle P = (pi)/(2), ...

    Text Solution

    |

  18. A line passing through the point of intersection of x+y=4 and x-y=2 ma...

    Text Solution

    |

  19. Let [a] denote the greatest integer which is less than or equal to a. ...

    Text Solution

    |

  20. If P=((2,-2,-4),(-1.3,4),(1,-2,-3)), then P^(5) equals.

    Text Solution

    |