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If the length of focal chord of y^2=4a x...

If the length of focal chord of `y^2=4a x` is `l ,` then find the angle between the axis of the parabola and the focal chord.

Answer

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The length of a focal chord of the parabola y^(2)=4ax making an angle theta with the axis of the parabola is (a>0) is:

If the point ( at^2,2at ) be the extremity of a focal chord of parabola y^2=4ax then show that the length of the focal chord is a(t+t/1)^2 .

Knowledge Check

  • If the lsope of the focal chord of y^(2)=16x is 2, then the length of the chord, is

    A
    22
    B
    24
    C
    20
    D
    18

  • If the length of a focal chord of parabola y^ = 4x is 25/4 and has a positive slope, then the slope of the focal chord will be

    A
    `sqrt(3)`
    B
    `1/(sqrt3)`
    C
    `4/3`
    D
    1

  • Let one end of focal chord of parabola y^2 = 8x is (1/2, -2) , then equation of tangent at other end of this focal chord is

    A
    `x + 2y + 8 = 0`
    B
    `x + 2y =8 `
    C
    `x - 2y = 8 `
    D
    `x - 2y + 8 = 0`

    • Similar Questions

    Explore conceptually related problems

    One extremity of a focal chord of y^(2)=16x is A(1,4). Then the length of the focal chord at A is

    If theta is the inclination of a focal chord of y^(2) = 4ax to its axis , then its length is

    If the normal chord of the parabola y^(2)=4 x makes an angle 45^(@) with the axis of the parabola, then its length, is

    If the point (at_1^2,2at_1) is one extremity of a focal chord of the parabola y^2 = 4ax , find the coordinates of the other extremity and the length of the focal chord is

    If the area of the triangle inscribed in the parabola y^(2)=4ax with one vertex at the vertex of the parabola and other two vertices at the extremities of a focal chord is 5a^(2)//2 , then the length of the focal chord is

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