Home
Class 12
MATHS
The focal distance of a point on the par...

The focal distance of a point on the parabola `y^(2) = 8x` is 4, find the coordinates of the point .

Text Solution

Verified by Experts

The correct Answer is:
(2,4) and (2,-4)
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CHHAYA PUBLICATION|Exercise Short Answer Tupe Questions|1 Videos

  • PARABOLA

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|1 Videos

  • PARABOLA

    CHHAYA PUBLICATION|Exercise M . C. Q|16 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E Assertion -Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

The focal distance of a point on the parabola y^(2) = 12 x is 6 , find the corrdinates of the point .

Find the focal distance of a point on the parabola x^(2) = 8y if the ordinate of the point be 11 .

Find the focal distance of a point on the parabola y^(2)=20 x if the abscissa of the point be 7 .

The slope of the normal to the parabola 3y^(2)+4y+2=x at a point it is 8. find the coordinates of the points.

If focal distance of a point P on the parabola y^(2)=4ax whose abscissa is 5 10, then find the value of a.

Show that the difference of focal distances of any point of the hyperbola 3x^(2) - 4y^(2) = 48 is constant.

The coordinates of the focus of the parabola 3y^(2) = 8 x are _

Determine a point on the parabola x^(2)=8y which is nearest to the point (2,4).

answer any three questions: (iv) a particle moves along the parabola y^2=4x . Find the coordinates of the point on the parabola ,where the rate of increement of abscissa is twice the rate of increement of the ordinate.

CHHAYA PUBLICATION-PARABOLA-Very Short Answer Type Qusetions
  1. Find the length of the latus rectum of the parabola y =- 2x^(2) + 12 ...

    Text Solution

    |

  2. Find the eqution of the parabola whose coordinates of vertex and focu...

    Text Solution

    |

  3. The vertex of a parabola is at the origin and its focus is (0,-(5)/(4...

    Text Solution

    |

  4. The parabola x^(2) +2py = 0 passes through the point (4,-2) , find ...

    Text Solution

    |

  5. The parabola y^(2) = 2ax gose through the point of intersection of ...

    Text Solution

    |

  6. A parabola having vertex at the origin and axis along x-axis passes ...

    Text Solution

    |

  7. The axis of a parabola is along y-axis and vertex is (0,0) . If it p...

    Text Solution

    |

  8. Find the equation of the parabola whose vertex is (0,0) and directrix ...

    Text Solution

    |

  9. Find the equation of the parabola whose vertex is at the origin and di...

    Text Solution

    |

  10. If the parabola y^(2) = 4 ax passes through the point of intersection...

    Text Solution

    |

  11. The parabola y^(2) = 4ax passes through the centre of the circle 2x...

    Text Solution

    |

  12. If the parabola y^(2) =4ax passes through the centre of the circle ...

    Text Solution

    |

  13. Find the point on parabola y^(2) = - 20 x at which the ordinate is do...

    Text Solution

    |

  14. Find the point on the parabola y^(2) = - 36 x at which the ordinate ...

    Text Solution

    |

  15. Find the point on the parabola y^(2)=4ax(a gt 0) which forms a trian...

    Text Solution

    |

  16. What type of conic is the locus of the moving point (at^(2),2at) ? ...

    Text Solution

    |

  17. The focal distance of a point on the parabola y^(2) = 8x is 4, find ...

    Text Solution

    |

  18. Find the focal distance of a point on the parabola y^(2)=20 x if the ...

    Text Solution

    |

  19. Determine the positions of the points (a) (3,6) ,(b) (4,3) and (c) ...

    Text Solution

    |

  20. For what values of a will the point (8, 4) be an inside point of the p...

    Text Solution

    |