Home
Class 11
MATHS
Prove that the radii of the circles x^(2...

Prove that the radii of the circles `x^(2)+y^(2)=1,x^(2)=y^(2)-2x-6y=6andx^(2)+y^(2)-4x-12y=9` are in AP.

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Prove that the centres of the circles x^2+y^2=1 , x^2+y^2+6x-2y-1=0 and x^2+y^2-12x+4y=1 are collinear

Find the radius of the circle x^(2)+y^(2)-4x-6y+12=0

The radius and centre of the circles x^(2)+y^(2)=1,x^(2)+y^(2)+10y+24=0andx^(2)+y^(2)-8x+15=0 is

Find the radical centre of circles x^(2)+y^(2)+3x+2y+1=0,x^(2)+y^(2)-x+6y+5=0 and x^(2)+y^(2)+5x-8y+15=0 . Also find the equation of the circle cutting them orthogonally.

Show that the common chord of the circles x^(2)+y^(2)-6x-4y+9=0andx^(2)+y^(2)-8x-6y+23=0 paas through the centre of the second circle and find its length.

The centre of the circle x^(2)+y^(2)-6x+4y-1=0 is

The centres of 3 circles x^2+y^2 =1, x^2+y^2 +6x-2y=1, x^2+y^2-12x+4y=1 are :

Prove that the centres of the three circles : x^2 + y^2 -4x-6y-14=0, x^2 + y^2+ 2x+4y-5=0 and x^2 + y^2-10x -16y + 7 = 0 are collinear.

Find the angle between the circles S:x^(2)+y^(2)-4x+6y+11=0andS':x^(2)+y^(2)-2x+8y+13=0

The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 154 sq. units. Then the equation of the circle is a. x^(2)+y^(2)+2x-2y-62=0 b. x^(2)+y^(2)+2x-2y-47=0 c. x^(2)+y^(2)-2x+2y-62=0 d. x^(2)+y^(2)-2x+2y-47=0

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Prove that the radii of the circles x^(2)+y^(2)=1,x^(2)=y^(2)-2x-6y=6a...

    Text Solution

    |

  2. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  3. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  4. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  5. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  6. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  7. Write the co-ordinates of the centre of the circle : 2x^2 + 2y^2-6x+8y...

    Text Solution

    |

  8. Find the equations of the following circle : Centre (0, 2) and radiu...

    Text Solution

    |

  9. In each of the following find the equation of the circle with centre (...

    Text Solution

    |

  10. Find the equation of the circle with Centre (-2,3) and radius 4

    Text Solution

    |

  11. Find the equations of the following circle : Centre (1,1) and radius...

    Text Solution

    |

  12. Find the equations of the following circle : Centre (1/2,1/2) and ra...

    Text Solution

    |

  13. Find the equations of the following circle : Centre (- a, -b) and ra...

    Text Solution

    |

  14. The centre and radius of the circle x^2+(y-1)^2=2 are

    Text Solution

    |

  15. Find the centre and radius of the circle : (x + 5)^2 + (y- 3)^2 = 36...

    Text Solution

    |

  16. Find the centre and radius of the circle : (x-1/2)^2+ (y+ 1/3)^2 =1/...

    Text Solution

    |

  17. Find the centre and radius of the circle : x^2 + y^2+ 8x + 10y- 8 =0...

    Text Solution

    |

  18. Find the centre and radius of the circle : x^2 + y^2- 4x- 8y- 45 = 0...

    Text Solution

    |

  19. Find the centre and radius of the circle : x^2 + y^2- 8x+ 10y- 12 = ...

    Text Solution

    |

  20. Find the centre and radius of the circle : 2x^2 + 2y^2- x=0.

    Text Solution

    |

  21. Show that the equation : Ax^2 + Ay^2 + Dx + Ey + F=0 represents a circ...

    Text Solution

    |