Home
Class 11
MATHS
Find the equation of the circle which to...

Find the equation of the circle which touches the line `x + 8 = 0` at the point `(-8,4)` , and passes through the origin .

Text Solution

Verified by Experts

The correct Answer is:
i.e., ` x^(2) + y^(2) + 6x - 8y = 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 circle which touches line x = y at the origin , and passes through (2,1), is

The equations of the circle which touches the axis of y at the origin and passes through (3, 4) , is

Find the equation of the circle which touches the lines x=0, y=0 and x=4 and lies in the first quadrant.

Find the equations of circles which touch the yeaxis and pass through the points A(2,0) and B(8,0)

The equation of the circle, which touches the parabola y^2=4x at (1,2) and passes through the origin is :

Find the equation of the circle which touches the axis of x and passes through the two points (1,-2) and (3,-4)

Equation of a circle which touches the parabola y^(2)-4x+8=0, at (3,2) and passes through its focus is

Find the equation of the circle which touches both the axes and the line 3x-4y+8=0 and lies in the third quadrant.

Find the equation of the circle which passes through the points (2, 8), (5, 7) and (6, 6) .

Find the equation of the circle which touches the axis of: (1)x pass through the point (1,1) and have line x+y=3 as diameter

MARVEL PUBLICATION-CIRCLE AND CONICS -MISCELLANEOUS MCQs
  1. Find the equation of the circle which touches the line x + 8 = 0 at ...

    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

    |