Home
Class 12
MATHS
Let P be the point on the parabola, y^...

Let P be the point on the parabola, `y^2=8x` which is at a minimum distance from the centre C of the circle,`x^2+(y+6)^2=1.` Then the equation of the circle, passing through C and having its centre at P is : (1) `x^2+y^2-4x+8y+12=0` (2) `x^2+y^2-x+4y-12=0` (3) `x^2+y^2-x/4+2y-24=0` (4) `x^2+y^2-4x+9y+18=0`

A

`x^2+y^2-4x+8y+12=0`

B

`x^2+y^2-x+4y-12=0`

C

`x^2+y^2-x/4+2y-24=0`

D

`x^2+y^2-4x+9y+18=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The distance from the centre of the circle x^(2)+y^(2)=2x to the straight line passing through the points of intersection of the two circles x^(2)+y^(2)+5x-8y+1=0,x^(2)+y^(2)-3x+7y-25=0 is

Let P be a point on parabola x ^ 2 = 4y . If the distance of P from the centre of circle x ^ 2 + y ^ 2 + 6x + 8 = 0 is minimum, then the equation of tangent at P on parabola x ^ 2 = 4y is :

The equation of the circle passing through the origin delta cutting the circles x^(2)+y^(2)-4x+6y+10=0 and x^(2)+y^(2)+12y+6=0 at right angles is -

Find the equation of circle passing through the origin and cutting the circles x^(2) + y^(2) -4x + 6y + 10 =0 and x^(2) + y^(2) + 12y + 6 =0 orthogonally.

Find the equation of the circle passing through the centre of the circle x^2 +y^2 -4x-6y=8 and being concentric with the circle x^2 +y^2 - 2x-8y=5 .

Equation of the circle passing through A(1,2), B(5,2) such that the angle subtended by AB at points the circle is pi/4 is (A) x^2+y^2-6x-8=0 (B) x^2+y^2-6x-8y+17=0 (C) x^2+y^2 -6x+8=0 (D) x^2+y^2-6x+8y-25=0

Find the equation of the circle passing through the centre of the circle x^(2)+y^(2)+8x+10y-7=0 and concentric with the circle x^(2)+y^(2)-4x-6y=0

Find the equation of the circle of minimum radius which contains the three cricles x^(2)-y^(2)-4y-5=0 x^(2)+y^(2)+12x+4y+31=0 and x^(2)+y^(2)+6x+12y+36=0

The equation of the circle having centre (0, 0) and passing through the point of intersection of the lines 4x + 3y = 2 and x + 2y = 3 is

ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

    Text Solution

    |

  2. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  3. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  4. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |

  5. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

    Text Solution

    |

  6. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  7. Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the ...

    Text Solution

    |

  8. The slope of the line touching the parabolas y^2=4x and x^2=-32y is

    Text Solution

    |

  9. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

    Text Solution

    |

  10. Let a, r, s, t be non-zero real numbers. Let P(at^2, 2at), Q, R(ar^2, ...

    Text Solution

    |

  11. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

    Text Solution

    |

  12. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  13. ·If the normals of the parabola y^2=4x drawn at the end points of it...

    Text Solution

    |

  14. Let the curve C be the mirror image of the parabola y^2 = 4x with resp...

    Text Solution

    |

  15. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

    Text Solution

    |

  16. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

    Text Solution

    |

  17. The circle C1 : x2 + y2 = 3, with centre at O, intersects the parabola...

    Text Solution

    |

  18. Let P be the point on parabola y^2=4x which is at the shortest distanc...

    Text Solution

    |

  19. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  20. If a chord which is not a tangent, of the parabola y^(2)=16x has the e...

    Text Solution

    |