Home
Class 12
MATHS
The co-ordinates of the points on the ba...

The co-ordinates of the points on the barabola `y^(2) =8x`, which is at minium distance from the circle `x^(2) + (y + 6)^(2) = 1` are

A

(2, -4)

B

(18, -12)

C

(2, 4)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    FIITJEE|Exercise EXERCISE 1|6 Videos
  • PARABOLA

    FIITJEE|Exercise EXERCISE 2|1 Videos
  • PARABOLA

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE )|12 Videos
  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
FIITJEE-PARABOLA-SOLVED PROBLEMS (OBJECTIVE )
  1. Let there be two parabolas y^2=4a x and y^2=-4b x (where a!=ba n da ,b...

    Text Solution

    |

  2. If three distinct normals can be drawn to the parabola y^(2)-2y=4x-9 f...

    Text Solution

    |

  3. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |

  4. AB is a focal chord of y^(2)=4x with A(2,2sqrt2). The radius of the ci...

    Text Solution

    |

  5. Let S be the set of all possible values of parameter 'a' for which the...

    Text Solution

    |

  6. If a normal chord at a point on the parabola y^(2)=4ax subtends a righ...

    Text Solution

    |

  7. Find the equation of the straight lines touching both x^2+y^2=2a^2 and...

    Text Solution

    |

  8. The equation 2y^(2)+3y-4x-3=0 represents a parabola for which

    Text Solution

    |

  9. Consider the circle x^2+y^2=9 and the parabola y^2=8x. They intersect ...

    Text Solution

    |

  10. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  11. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  12. If l and m are variable real number such that 5l^(2)+6m^(2)-4lm+3l=0, ...

    Text Solution

    |

  13. If l and m are variable real number such that 5l^(2)+6m^(2)-4lm+3l=0, ...

    Text Solution

    |

  14. Statement-1: The maximum value of |sqrt(x^(4)-3x^(2)-6x+13)-sqrt(x^(4)...

    Text Solution

    |

  15. Normal at the point A(2, -4) intersect the parabola y^(2)=8x at the po...

    Text Solution

    |

  16. Normals are drawn from the interior point P to the parabola y^(2)=4x s...

    Text Solution

    |

  17. Match the following:

    Text Solution

    |

  18. If normals to parabola y^(2)=4x at points A, B, C intersect at (11, 0)...

    Text Solution

    |

  19. Column I : Parabola y^(2)=16x is given. In column I, 4 points (P) is g...

    Text Solution

    |

  20. Column I : Parabola y^(2)=16x is given. In column I, 4 points (P) is g...

    Text Solution

    |