Home
Class 12
MATHS
Find the locus of the points of trisecti...

Find the locus of the points of trisection of double ordinate of a parabola `y^(2)=4ax (agt0)`

Text Solution

Verified by Experts

The correct Answer is:
`9y^(2) = 4 ax`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.1 III.|4 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.2 I.|6 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.1 I.|14 Videos

  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

Find the locus of the points of trisection of double ordinate of a parabola y^(2)=4x (agt0)

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

Knowledge Check

  • The locus of the points of intersection of perpendicular normals of the parabola y^2=4ax is

    A
    `y^2-2ax+a^2=0`
    B
    `y^2-ax+2a^2=0`
    C
    `y^2-ax+2a^2=0`
    D
    `y^2-ax+3a^2=0`

  • The equation of the locus of the point of intersection of two normals to the parabola y^(2)=4ax which are perpendicular to each other is

    A
    `y^(2)=a(x-3a)`
    B
    `y^(2)=a(x+3a)`
    C
    `y^(2)=a(x+2a)`
    D
    `y^(2)=a(x-2a)`

  • The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make the angles theta_(1) and theta_(2) with the axis so that tan^(2) theta_(1) tan^(2) theta_(2) =k is

    A
    kx-y=0
    B
    kx-a=0
    C
    y=ka=0
    D
    `kx^(2)+2ax-y^(2)=0`

    • Similar Questions

    Explore conceptually related problems

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

    Show that the locus of point of intersection of perpendicular tangents to the parabola y(2)=4ax is the directrix x+a=0.

    The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make complementary angles with the axis of the parabola is

    Prove that the locus of point of intersection of two perpendicular normals to the parabola y^(2) = 4ax is the parabola y^(2) = a(x-3a) .

    Prove that the locus of point of intersection of two perpendicular normals to the parabola y^(2) = 4ax isl the parabola y^(2) = a(x-3a)

    Home
    Profile