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Find the equation of the parabola whose ...

Find the equation of the parabola whose vertex is (2,3) and the equation of latus rectum is x = 4 . Find the coordinates of the point of intersection of this parabola with its latus rectum .

Text Solution

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The correct Answer is:
`(y -3)^(2) =8 (x-2) ,(4,7) ,(4,1)`
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Find the equation of the parabola whose coordinates of vertex are (-2,3) and the equation of the directrix is 2x+3y + 8 = 0

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Knowledge Check

  • The equation of hyperbola whose coordinates of the foci are (pm 8 , 0) and the length of latus rectum is 24 units is _

    A
    `3x^(2) - y^(2) = 48 `
    B
    `4x^(2) - y^(2) = 48 `
    C
    `x^(2) - 3y^(2) = 48 `
    D
    ` x^(2) - 4y^(2) = 48 `

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