Home
Class 11
MATHS
Find the equation of the circle , centr...

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

Text Solution

Verified by Experts

The correct Answer is:
i.e., ` x^(2) + y^(2) + 2x - 8y + 13 = 0 `
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|289 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

Equation of the circle with centre (-4,3), and touching the circle x^(2) + y^(2) = 1 , is

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.

Find the equation of a circle whose centre is (2,-1) and touches the line x-y-6=0.

Find the equation of the circle whose radius is 5 and which touches the circle x^(2)+y^(2)-2x-4y-20=0 externally at the point (5,5).

Find the equation of a circle with centre (1,-3) and touches the line 2x-y-4=0.

The equation of the circle concentric with the circle x^(2) + y^(2) - 6x - 4y - 12 =0 and touching y axis

Find the equation of the circle passing through (-2,14) and concentric with the circle x^(2)+y^(2)-6x-4y-12=0

Find the equation of a circle with center (4,3) touching the circle x^(2)+y^(2)=1

Find the equation of the circle which is concentric with the circle x^(2) + y^(2) - 6x - 4y- 3 = 0 , and has radius 5.

(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.

MARVEL PUBLICATION-CIRCLE AND CONICS -MISCELLANEOUS MCQs
  1. Find the equation of the circle , centred at (-1,4) , which touches ...

    Text Solution

    |

  2. If the equation ax^(2) + by^(2) + (a + b - 4) xy - ax - by - 20 = ...

    Text Solution

    |

  3. Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

    Text Solution

    |

  4. If the circles of same radius a and centres (2,3), (5,6) cut orthogona...

    Text Solution

    |

  5. If the equation a^(2) x^(2) + (a^(2) - 5a + 4) xy + (3a - 2) y^(2...

    Text Solution

    |

  6. The (x-x1)(x-x2)+(y-y1)(y-y2=0 represents a circle whose centre is

    Text Solution

    |

  7. Two circles with centres at C(1) , C(2) and having radii r(1) , r(2...

    Text Solution

    |

  8. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

    Text Solution

    |

  9. If the line x + 2by + 7 = 0 is a diameter of the circle x^(2) ...

    Text Solution

    |

  10. If the circle x^(2) + y^(2) - kx - 12y + 4 = 0 touches the X-axis th...

    Text Solution

    |

  11. The equation of the circle which touches both axes and whose centre is...

    Text Solution

    |

  12. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

    Text Solution

    |

  13. Centre of the circle (x - x(1)) (x-x(2)) + (y-y(1)) (y- y(2)) = 0 ...

    Text Solution

    |

  14. Delta ABC is right angled at C . If A -= (-3,4) " and " B -= (3,4) t...

    Text Solution

    |

  15. If the equation , px^(2) + (2-q) xy + 3y^(2) - 6qx + 30y +6y = 0 ...

    Text Solution

    |

  16. Circle x ^(2) + y^(2)+6y=0 touches

    Text Solution

    |

  17. Equation of the circle with centre at (1,-2) , and passing through th...

    Text Solution

    |

  18. Equation of the circle concentric with the circle x^(2) + y^(2) + ...

    Text Solution

    |

  19. Equation of the circle passing through the three points (0, 0) , (0...

    Text Solution

    |

  20. A circle is concentric with the circle x^(2) + y^(2) - 6x + 12y + ...

    Text Solution

    |

  21. Equation of the circle with centre on the X-axis , radius 4 , and pass...

    Text Solution

    |