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The focal distance of a point P on the p...

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

Text Solution

Verified by Experts

The correct Answer is:
B
Given parabola is `y^(2)=12x` .............(i)
Here a=3
For point P(x,y),y=6
This point lie on the parabola
`:. (6)^(2)=12ximplies x=3 `
Now, focal distance of point P is x+a=6
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Knowledge Check

  • 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`

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

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    1
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    D
    `-2`

  • One of the points on the parabola y^2=12x with focal distance 12 is

    A
    (3,6)
    B
    `(9, 6sqrt3)`
    C
    `(7, 2sqrt(21))`
    D
    `(8, 4sqrt6)`

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