Home
Class 11
MATHS
Find all the circles which are orthogona...

Find all the circles which are orthogonal to `absz=1` and `abs(z-1)=4`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

The center of the circle which cuts parabola orthogonally the parabola y^2=4x at (1,2) passes through

Find the equation of the circle which passes through (1, 1) and cuts orthogonally each of the circles x^2 + y^2 - 8x - 2y + 16 = 0 and x^2 + y^2 - 4x -4y -1 = 0

Find the direction ratios of orthogonal projection of line (x-1)/1=(y+1)/(-2)=(z-2)/3 in the plane x-y+2z-3=0. also find the direction ratios of the image of the line in the plane.

The locus of the centre of the circle which cuts orthogonally the circle x^2+y^2-20x+4=0 and which touches x=2 is :

Find the equation of the plane which passes through the point (2,1,-1) and is orthogonal to each of the planes x-y+z=1 and 3x+4y-2z=0 .

For all complex niumbers z_1, z_2 satisfying absz_1=12 and abs(z_2-3-4i)=5 , the minimum value of abs(z_1-z_2) is

z_1, z_2, z_3 are three points lying on the circle absz=1 , maximum value of abs(z_1-z_2)^2+abs(z_2-z_3)^2+abs(z_3-z_1)^2 is

The radius of the circle touching the line 2x + 3y +1 = 0 at (1,-1) and cutting orthogonally the circle having line segment joining (0, 3) and (-2,-1) as diameter is

If z_1 lies on absz=1 and z_2 lies on absz=2 then

If z_1 and z_2 be two complex numbers such that abszle1, absz_2le1, abs(z_1+iz_2)=abs(z_1-iz_2)=2 , then z_1 equals

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. Show that the points represented by complex numbers (3+2i),(2-i),-7i a...

    Text Solution

    |

  2. Find the centre and radius of circle 2absz^2+(3-i)z +(3+i)barz-7=0

    Text Solution

    |

  3. Find all the circles which are orthogonal to absz=1 and abs(z-1)=4

    Text Solution

    |

  4. If z1,z2,z3 are complex numbers such that 2/z1=1/z2 + 1/z3, show that ...

    Text Solution

    |

  5. If 4x+i(3x-y)=3+i(-6), where x and y are real numbers, then find the v...

    Text Solution

    |

  6. Find the multiplicative inverse of 2-3i.

    Text Solution

    |

  7. Convert the complex number (-16)/(1+isqrt3) into polar form.

    Text Solution

    |

  8. Find real theta such that (3+2isintheta)/(1-2isintheta) is purely real...

    Text Solution

    |

  9. Convert the complex number z=(i-1)/(cos(pi/3)+isin(pi/3)) in the polar...

    Text Solution

    |

  10. {1+(-i)^(4n+3)}(1-i), (ninN) equals

    Text Solution

    |

  11. If z1,z2 are conjugate complex numbers and z3,z4 are also conjugate, t...

    Text Solution

    |

  12. If z=(1+i)(1+sqrt 3i)^2/(1-i), then argz equal

    Text Solution

    |

  13. The equation z^3=barz has

    Text Solution

    |

  14. In the argand plane ABCD is a square described in the anticlockwise se...

    Text Solution

    |

  15. (-64)^(1/4) equals

    Text Solution

    |

  16. If omega is an imaginary cube root of unity then the value of omega^n+...

    Text Solution

    |

  17. Solve: z^7-1=0

    Text Solution

    |

  18. Located the complex numbers z=x+iy for which: log(1/2)((abs(z-1)+4)/(3...

    Text Solution

    |

  19. Ifz1,z2,z3 represent three vertices of an equilateral triangle in arga...

    Text Solution

    |

  20. Express the following expreeion in the form of a+ib : ((3+isqrt5)(3-is...

    Text Solution

    |