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Equation of parabola whose focus is (1, ...

Equation of parabola whose focus is (1, 0) and directrix is` x + 2y- 1= 0 is`

A

`4x^(2) - 4xy + y^(2) - 8x + 4y + 4 = 0 `

B

`4x^(2) + 4xy + y^(2) - 8x + 4y + 4 = 0`

C

`4x^(2) + 4xy + y^(2) + 8x - 4y + 4 = 0 `

D

`4x^(2) - 4xy + y^(2) - 8x - 4y + 4 = 0 `

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The correct Answer is:
A
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Knowledge Check

  • Equation of parabola whose focus is (0, 4) and directrix is y + 4 = 0 is

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

  • The equation of the parabola having focus (1,2) and directrix x+ 2y + 6 = 0 is

    A
    `4x^(2) + 4xy +y^(2) + 22x - 44y-11 =0`
    B
    `4x^(2) - 4xy + y^(2) - 22 x + 44y-11 = 0`
    C
    `4x^(2) + 4xy + y^(2) + 22 x +54y+11=0`
    D
    `4x^(2) - 4xy+y^(2)- 22x -44y -11 =0`

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

    A
    `y^(2)=3x`
    B
    `y^(2)=6x`
    C
    `y^(2)=12x`
    D
    `y^(2)=2x`

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