Home
Class 12
MATHS
Show that the shortest length of the nor...

Show that the shortest length of the normal chord to the parabola `y^(2) = `4ax is `6sqrt(3a)`

Answer

Step by step text solution for Show that the shortest length of the normal chord to the parabola y^(2) = 4ax is 6sqrt(3a) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- I|57 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- II|100 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE - 3.3 ( SHORT ANSWER QUESTIONS )|8 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

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 normals at the ends of a focal chord of the parabola y^(2) = 4ax is y^(2)= a(x- 3a).

Knowledge Check

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

    A
    `(x+2a)y^(2)=4a^(3)`
    B
    `(x+2a)y^(2)+4a^(3)=0`
    C
    `(x-2a)y^(2)=4a^(3)`
    D
    `(x-2a)y^(2)+4a^(3)=0`

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

    A
    ` (y^(2) )/(2a) + ( 4a^(3))/( y^(2))= x-2a`
    B
    ` (y^(2))/(2a) -(4a^(3))/(y^(2))=x-2a`
    C
    ` (y^(2))/( 2a) +(4a^(3))/( y^(2))=x+2a `
    D
    ` (y^(2))/(2a) -(4a^(3))/( y^(2))=x-2a `

  • The subnormal of the parabola y^(2)=4ax is equal to

    A
    latus rectum
    B
    semi latus rectum
    C
    2(latus rectum )
    D
    none

    • Similar Questions

    Explore conceptually related problems

    Angle between tangents drawn at ends of focal chord of parabola y^(2) = 4ax is

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

    The slope of the normal at (at^(2),2at) of the parabola y^(2)=4ax is

    The length of the normal chord drawn at one end of the latus rectum of y^(2)=4ax is

    The length of normal chord drawn at one end of latus rectum of y^(2)=4ax is

    Home
    Profile