Home
Class 12
MATHS
The locus of the midpoints of the focal ...

The locus of the midpoints of the focal chords of the parabola `y^(2)=4ax` is

A

`y^(2)=8ax`

B

`y^(2)=4ax`

C

`y^(2)=2ax`

D

`y^(2)=ax`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS ) SET-1|4 Videos

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS ) SET-2|4 Videos

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 A|210 Videos

  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos

Similar Questions

Explore conceptually related problems

The locus of the midpoints of the focal chords of the parabola y^(2)=6x which pass through a fixed point (9,5) is

The locus of middle points of normal chords of the parabola y^(2) = 4ax is

The midpoint of the chord 2x-y-2=0 of the parabola y^(2)=8x is

The locus of midpoints of chords of the parabola y^(2)=4ax which are parallel to line y =mx +c is

DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1B
  1. The tangent at the point P (x(1),y(1)) to the parabola y^(2)=4ax meets...

    Text Solution

    |

  2. If the tangent at the point P (2,4) to the parabola y^(2)=8x meets the...

    Text Solution

    |

  3. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

    Text Solution

    |

  4. Let O be the origin and A be a point on the curve y^(2)=4x. Then the l...

    Text Solution

    |

  5. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

    Text Solution

    |

  6. The locus of the midpoints of the focal chords of the parabola y^(2)=6...

    Text Solution

    |

  7. The locus of middle points of normal chords of the parabola y^(2) = 4...

    Text Solution

    |

  8. The point of intersection of the tangents of the parabola y^(2)=16x at...

    Text Solution

    |

  9. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

    Text Solution

    |

  10. A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2) ...

    Text Solution

    |

  11. A tangent to the parabola y^(2)+4bx =0 meets the parabola y^(2)=4ax i...

    Text Solution

    |

  12. The locus of midpoints of chords of the parabola y^(2)=4ax which touc...

    Text Solution

    |

  13. The locus of the midpoints of the chords of the parabola y^(2) =6x whi...

    Text Solution

    |

  14. The locus of midpoints of chords of the parabola y^(2)=4ax which are ...

    Text Solution

    |

  15. The tangent at 't' on the parabola y^(2) =4ax is parallel to a normal ...

    Text Solution

    |

  16. An equailateral triangle is inscribed in the parabola y^(2)=4ax whose ...

    Text Solution

    |

  17. The equation to the pair of tangents drawn from (3,-2) to the parabola...

    Text Solution

    |

  18. The combined equation to the tangents to the parabola y^(2) =4ax from...

    Text Solution

    |

  19. Two tangents are drawn from a point (-2,-1) to the curve y^(2) =4x, ...

    Text Solution

    |

  20. The angle between the tangents to the parabola y^(2)=4ax at the points...

    Text Solution

    |