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

Find the equation of the circle which passes through the point (1, 1) & which touches the circle `x^(2) + y^(2) + 4x – 6y – 3 = 0` at the point (2, 3) on it.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) + y^(2) + x - 6y + 3 = 0`
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

The equation of the cirele which passes through the point (1,1) and touches the circle x^(2)+y^(2)+4x-6y-3=0 at the point (2,3) on it is

Find the equation of a circle which passes through the point (3, 2) and concentric with the circle x^(2)+y^(2)-4x +2y - 1=0 .

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 equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Equation of circles which pass through the point (1,-2) and (3,-4) and touch the x- axis is

The equation of circle which pass through the points (2.0),(0.2) and orthogonal to the circle 2x^(2)+2y^(2)+5x-6y+4=0

The equation of circle which passes through (1,-1) and which touches the line 6x+y-18=0 at point (3,0) is

MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. Find the equation of circle passing through (1, 1) belonging to the sy...

    Text Solution

    |

  2. A circle S = 0 is drawn with its centre at (-1, 1) so as to touch the ...

    Text Solution

    |

  3. Find the equation of the circle which passes through the point (1, 1) ...

    Text Solution

    |

  4. Find the equation of the circle whose radius is 3 and which touches ...

    Text Solution

    |

  5. Find the equation of the circle whose diameter is the common chord of ...

    Text Solution

    |

  6. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

    Text Solution

    |

  7. Find the equation of the circle through the points of intersection of ...

    Text Solution

    |

  8. The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |