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

Find the equation of the circle which touches the line y = 2, passes through the origin and the point where the curve `y^(2) - 2x + 8 = 0` meets the x-axis.

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

The equation of the circles which touch the y-axis at the origin and the line 5x+12y-72=0 is

Find the equation of the circle, which passes through the point (5,4) and is concentric with the circle x^(2)+y^(2)-8x -1 2 y + 15 = 0 .

Find the equation of the normal to the curve 2y=x^2 , which passes through the point (2,1).

Find the equation of the line parallel to the line 3x + 2y = 8 and passing through the point (0, 1) .

Find the equation of the straight line which passes through the origin and the point of intersection of the st. lines y-x+7=0, y+2x-2=0

Find the equation of the circle which passes through the points (3,-2)a n d(-2,0) and the center lies on the line 2x-y=3

Equation of the smaller circle that touches the circle x^2+y^2=1 and passes through the point (4,3) is

Find the equation of the circle passing through the point ( 2, 3) and touching the line 2x+3y=4 at the point ( 2, 0)

Find the equation of the circle passing through the origin and the points where the line 3x+4y=12 meets the axes of coordinates.

ICSE-CIRCLE-EXERCISE 17(C )
  1. The circle 4x^(2) + 4 y^(2) = 25 cuts the line 3x + 4y - 10 = 0 at A a...

    Text Solution

    |

  2. Find the length of the chord x+ 2y = 5 of the circle whose equation is...

    Text Solution

    |

  3. Find the intercept made by the circle 4x^(2) + 4 y^(2) - 24x + 5y + 25...

    Text Solution

    |

  4. Find the equation of circle with Centre C (1,- 3) and tangent to 2 x ...

    Text Solution

    |

  5. Find the length of the chord made by the axis of x, with the circle wh...

    Text Solution

    |

  6. Find the equation of the circle which has centre C (3, 1) and which to...

    Text Solution

    |

  7. Tangents from an external point. Find the equations of the tangents to...

    Text Solution

    |

  8. Find the equations of the tangents to the circle x^(2) + y^(2) = 25 i...

    Text Solution

    |

  9. The circle x^(2) + y^(2) + 2g x + 2fy + c = 0 does not intersect th...

    Text Solution

    |

  10. Find the conditions that the line (i) y = mx + c may touch the circle...

    Text Solution

    |

  11. For what value of k will the line 4x + 3y + k = 0 touch the circle 2x^...

    Text Solution

    |

  12. Show that 3x - 4y - 11 = 0 is a tangent to the circle x^(2) + y^(2) - ...

    Text Solution

    |

  13. Show that x = 7 and y = 8 touch the circle x^(2) + y^(2) - 4x - 6y -1 ...

    Text Solution

    |

  14. Show that the line 3x+4y +20=0 touches the circle x^(2) + y^(2) =16 an...

    Text Solution

    |

  15. Length of the tangent. Prove that the length t o f the tangent from th...

    Text Solution

    |

  16. If x = 4 + 5cos theta and y = 3 + 5 sin theta , show that the locus ...

    Text Solution

    |

  17. A (1 ,0 ) and B (7 ,0 ) are two points on the axis o f x. A point P is...

    Text Solution

    |

  18. Find the equation of the circle which touches the line y = 2, passes t...

    Text Solution

    |

  19. (i) Prove that the line y = 2x touches the circle x^(2) + y^(2) + 16x ...

    Text Solution

    |