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The equation of the parabola with the fo...

The equation of the parabola with the focus (3,0) and the directrix `x+3=0` is

A

`y^(2)=3 x`

B

`y^(2)=6 x`

C

`y^(2)=12 x`

D

`y^(2)=2 x`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The equation to the parabola with focus (2, 0) and the directrix x + 3 = 0 is

    A
    `y^(2) - 10 x + 5 = 0`
    B
    `y^(2) - 10 x - 5 = 0`
    C
    `x^(2) - 10 y + 5 = 0`
    D
    `x^(2) - 10 y - 5 = 0`

  • The equation of the parabola with focus (0,3) and the directrix y+3=0 is

    A
    `x^(2)=-12 y`
    B
    `x^(2)=12 y`
    C
    `y^(2)=-12 y`
    D
    `y^(2)=12 y`

  • The equation of the parabola with focus (0,0) and directrix x+y=4 is

    A
    `x^(2)+y^(2)-2 x y+8 x+8 y-16=0`
    B
    `x^(2)+y^(2)-2 x y+8 x+8 y=0`
    C
    `x^(2)+y^(2)+8 x+8 y-16=0`
    D
    `x^(2)+y^(2)+8 x+8 y-16=0`

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