Home
Class 12
MATHS
Find the equation of the circle which cu...

Find the equation of the circle which cuts the circle `x^2 + y^2 - 14x - 8y + 64 = 0` and the coordinate axes orthogonally.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) + y^(2) = 64`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exercise - 3 (Subjective | JEE Advanced) Matrix Match Type|1 Videos

  • CIRCLE

    MOTION|Exercise Exerise - 4 | Level - I (Previous Year|JEE Main|10 Videos

  • CIRCLE

    MOTION|Exercise Exercise -2 (Level - II) Multiple correct | JEE Advanced|14 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle concentric with the circle 2x^2 + 2y^2 - 6x + 8y+1=0 and of double its area.

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

Find the equation of the circle which cuts the circles x^(2)+y^(2)-9x+14=0 and x^(2)+y^(2)+15x+14=0 orthogonally and passes through the point (2,5)

Find the equation of the circle , centred at (-1,4) , which touches the circle x^(2) + y^(2) - 6x - 2y + 1 = 0 externally

Find the equation of a circle concentric with the circle 2x ^(2) + 2y ^(2) - 6x + 8y + 1 = 0 and of double its area.

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).

The locus of the centers of the circles which cut the circles x^(2) + y^(2) + 4x – 6y + 9 = 0 and x^(2) + y^(2) – 5x + 4y – 2 = 0 orthogonally is

Find the equation of the circle passing through the centre of the circle x^2 +y^2 -4x-6y=8 and being concentric with the circle x^2 +y^2 - 2x-8y=5 .

Find the equation of the circle which cuts orthogonally the circle x^(2)+y^(2)6x+4y-3=0, passes through (3,0) and touches the axis of y.

MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts o...

    Text Solution

    |

  2. Find the equation of a circle passing through the origin if the line p...

    Text Solution

    |

  3. Find the equation of the circle which cuts the circle x^2 + y^2 - 14x...

    Text Solution

    |

  4. The locus of the centers of the circles which cut the circles x^(2) + ...

    Text Solution

    |

  5. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

    Text Solution

    |

  6. Find the equation of the circle passing through the point (– 6, 0) if ...

    Text Solution

    |

  7. Find the equation of the circle which passes through the origin, meets...

    Text Solution

    |

  8. Determine the nature of the quadrilateral formed by four lines 3x+4y ...

    Text Solution

    |

  9. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

    Text Solution

    |

  10. One of the diameters of the circle circumscribing the rectangle ABCD i...

    Text Solution

    |

  11. Find the equations of straight lines which pass through the intersecti...

    Text Solution

    |

  12. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  13. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  14. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  15. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  16. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  17. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  18. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  19. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  20. The equation of the line inclined at an angle of pi/4 to the X-a xi s ...

    Text Solution

    |