Home
Class 12
MATHS
The locus of the midpoints of the line j...

The locus of the midpoints of the line joining the focus and any point on the parabola `y^(2)=4ax` is a parabola with the equation of directrix as

A

x=0

B

`x=(a)/(2)`

C

`x+a=0`

D

`2x+a=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2007

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos
  • KARNATAKA CET 2009

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The locus of the mid points of the line joining the focus and any point on the parabola y^(2)=4ax is a parabola with equation of directrix as

The locus of the mid point of the line segment joining the focus to a moving point on the parbola y^(2)=4ax is another parabola with directix

Focus of the parabola y^(2)=16 x is at

The locus of the midpoints of the chords which are drawn from the vertex of the parabola y^(2)=4 a x is

If a focal chord of the parabola y^(2)=a x is 2 x-y-8=0 then the equation of the directrix is

The focus of the parabola y=2 x^(2)+x is

The directrix of the parabola y^(2)=16 x is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2008-MATHEMATICS
  1. The point (5,-7) lines outside the circle

    Text Solution

    |

  2. If the circles x^(2)+y^(2)=9andx^(2)+y^(2)+2alphax+2y+1=0 touch each o...

    Text Solution

    |

  3. The locus of the midpoints of the line joining the focus and any point...

    Text Solution

    |

  4. The tangents drawn at the extremeties of a focal chord of the parabola...

    Text Solution

    |

  5. The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)-1=0 represents an e...

    Text Solution

    |

  6. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

    Text Solution

    |

  7. The converse of the contrapositive of the conditional pto~q is

    Text Solution

    |

  8. The perimeter of a certain sector of a circle is equal to the length o...

    Text Solution

    |

  9. The value of tan67(1^(@))/(2)+cot67(1^(@))/(2) is

    Text Solution

    |

  10. If e(1)ande(2) are the ecentricities of a hyperbola 3x^(2)-2y^(2)=25 a...

    Text Solution

    |

  11. If p and q are prime numbers satisfying the condution p^(2)-2q^(2)=1, ...

    Text Solution

    |

  12. If A(adiA)=5I where I is the identity matrix of order 3 , then |adjA| ...

    Text Solution

    |

  13. The number of solutions for the equation sin2x+cos 4x=2 is

    Text Solution

    |

  14. inte^(x)*x^(5)dx is

    Text Solution

    |

  15. The maximum area of a rectangle that can be inscribeb in a circle of r...

    Text Solution

    |

  16. If Z is a complex number such that Z=-overlineZ, then

    Text Solution

    |

  17. The value of sum(k=1)^(6)[" sin"(2Kpi)/(7)- i " cos"(2Kpi)/(7)] is

    Text Solution

    |

  18. underset(x to oo)limsin((2)/(x)) is equal to

    Text Solution

    |

  19. A stone is thrown vertically upwards and the height x ft, reached by ...

    Text Solution

    |

  20. The genergal solution of |sinx|=cosx is (when n inZ) given by

    Text Solution

    |