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Find the points of the parabola y^2=2x w...

Find the points of the parabola `y^2=2x` where the focal distance is `5/2`.

Answer

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Knowledge Check

  • For the parabola y^(2)=4x the point P whose focal distance is 17 is

    A
    (2,8) or (2,-8)
    B
    (16,8) or (16,-8)
    C
    (8,8) or (8,-8)
    D
    (4,8) or (4,-8)
  • The co - ordinates of a point on the parabola y^(2) =8x whose focal distance is 4 are :

    A
    `(1 pm 2sqrt(2))`
    B
    `(2 pm 4)`
    C
    `(1/2,px2)`
    D
    none of these
  • The point on the parabola y^(2)=8 x where the normal is inclined at 30^(circ) with the x -axis is

    A
    `((2)/(3), (4)/(sqrt(3)))`
    B
    `((2)/(5), (4)/(sqrt(5)))`
    C
    `((2)/(3),-(4)/(sqrt(3)))`
    D
    `((2)/(5),-(4)/(sqrt(5)))`
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