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Find the vertex and focus of 4y^(2)+12...

Find the vertex and focus of
`4y^(2)+12x-20y+67=0`

Text Solution

Verified by Experts

The correct Answer is:
Vertex `( - (7)/( 2), (5)/(2) )`, Focus `( - (17)/(4) , (5)/(2) )`
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Knowledge Check

  • The distance between the vertex and the focus of the parabola x^(2) - 2x + 3y - 2 = 0 is

    A
    `(4)/(5)`
    B
    `(3)/(4)`
    C
    `(1)/(2)`
    D
    `(5)/(6)`

  • The distance between the vertex and the focus of the parabola x^(2)-2x+3y-2=0 is

    A
    `(4)/(5)`
    B
    `(3)/(4)`
    C
    `(1)/(2)`
    D
    `(5)/(6)`

  • The vertex and the focus of the parabola 2y^(2) + 5x - 6y + 1 =0 respectively

    A
    `((7)/(10), (3)/(2)), ((3)/(40) ,(3)/(2))`
    B
    `((-7)/(10), (3)/(2)), ((53)/(40) ,(3)/(2))`
    C
    `((7)/(10), (-3)/(2)), ((7)/(10) ,(7)/(8))`
    D
    `((-7)/(10), (-3)/(2)), ((7)/(10) ,(17)/(8))`

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    Find th equations of axis and directrix of the parabola 4x^(2) +12x-20y+67=0

    The distance between the vertex and the focus of the parabola x^2-2x+3y-2=0 is

    The length of the latus rectum of the parabola 4y^(2)+12x-20y+67=0 is

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