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

.Find the equation ofthe circle which passes through the focus ofthe parabola `x^2=4y` and touches it at the point (6, 9).

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)+18x-28y+27=0`
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos

  • PARABOLA

    MOTION|Exercise EXERCISE - II|17 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

Similar Questions

Explore conceptually related problems

The radius of circle which passes through the focus of parabola x^(2)=4y and touches it at point (6,9) is k sqrt(10), then k=

Find the radius of the largest circle,which passes through the focus of the parabola y^(2)=4(x+y) and is also contained in it.

Radius of the largest circle which passes 13 through the focus of the parabola y^(2)=4x and contained in it,is

Find the equation of the circle which passes through the two points (6,4),(8,-4) and has centre on the X-axis

Find the equation of line which is normal to the parabola x^(2)=4y and touches the parabola y^(2)=12x .

Find the equation of the circle passing through the point (-2,1) and touching the line 3x-2y-6=0 at the point (4,3).

Find the equation to the circle which passes through the point (2,4) and through the points in which the circle x^(2)+y^(2)-2x-6y+6=0 is cut by the line 3x+2y-5=0

MOTION-PARABOLA-EXERCISE - III
  1. From vertex O ofthe parabola y^2=4ax perpendicular is drawn at a tange...

    Text Solution

    |

  2. Let P be a point on the parabola y^(2) - 2y - 4x+5=0, such that the ta...

    Text Solution

    |

  3. Two tangents to the parabola y^(2) = 8x meet the tangent at its vertex...

    Text Solution

    |

  4. Show that the normals at the points (4a, 4a) & at the upper end of t...

    Text Solution

    |

  5. In the parabola y^(2) = 4ax, the tangent at the point P, whose absciss...

    Text Solution

    |

  6. Prove that the locus of the middle point of portion of a normal to y^(...

    Text Solution

    |

  7. Three normals to y^2=4x pass through the point (15, 12). Show that one...

    Text Solution

    |

  8. Normals are drawn from a point P with slopes m1,m2 and m3 are drawn fr...

    Text Solution

    |

  9. Prove that, the normal to y^(2) = 12x at (3,6) meets the parabola agai...

    Text Solution

    |

  10. P & Q are the points of contact of the tangents drawn from the point T...

    Text Solution

    |

  11. A variable chord PQ of the parabola y^(2) = 4x is drawn parallel to th...

    Text Solution

    |

  12. Show that the normals at two suitable distinct real points on the para...

    Text Solution

    |

  13. Let S is the focus of the parabola y^(2) = 4ax and X the foot of the d...

    Text Solution

    |

  14. Prove that the parabola y^(2) = 16x and the circle x^(2) + y^(2) - 40x...

    Text Solution

    |

  15. .Find the equation ofthe circle which passes through the focus ofthe p...

    Text Solution

    |

  16. A fixed parabola y^(2) = 4ax touches a variable parabola. Find the equ...

    Text Solution

    |

  17. Show that an infinite number of triangles can be inscribed in either o...

    Text Solution

    |

  18. From the point P(h, k) three normals are drawn to the parabola x^(2) =...

    Text Solution

    |

  19. From the point P(h, k) three normals are drawn to the parabola x^(2) =...

    Text Solution

    |

  20. From the point P(h, k) three normals are drawn to the parabola x^(2) =...

    Text Solution

    |