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The focal distance of a point on the par...

The focal distance of a point on the parabola `y^2=12 x` is `4.`Find the abscissa of this point.

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The given parabola is of the form `y^2=4ax`
On comparing, we obtain `4a=12 ` i.e., `a=3`
We know that the focal length of any point `(x,y)`on `y^2=4a`
Let the given point on the parabola `y^2=12x` be `(x,y)`
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Knowledge Check

  • The focal distance of a point on the parabola y^2 = 12 x is 4. What is the abscissa of the point?

    A
    1
    B
    `-1`
    C
    `2sqrt(3)`
    D
    `-2`

  • The focal distance of a point P on the parabola y^(2)=12x if the ordinate of P is 6, is

    A
    12
    B
    6
    C
    3
    D
    9

  • If the focal distance of a point on the parabola y^(2) = 8x is 4, then its ordinate can be

    A
    `pm 1`
    B
    `pm 2`
    C
    `pm 3`
    D
    `pm 4`

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