Parametric Help

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  1. megafobia's Avatar
    • Full Member
    • Posts: 140
    Parametric Help
    X = 2/t Y= 4t

    a) Show that the tangent to C at the point P with the parameter p has equation
    y = -2p^(2)x + 8p

    Got to the equation, but b) I don't get.

    b) The tangent to C at the point P passes through the point (2,3). Show that P can be one of the two points. Find the co ordinates of each of these two points.

    Any help would be appreciated.
  2. TenOfThem's Avatar
    • TSR Royalty
    Re: Parametric Help
    Put those values in for x and y and you will have a quadratic in p to solve
  3. megafobia's Avatar
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    • Posts: 140
    Re: Parametric Help
    (Original post by TenOfThem)
    Put those values in for x and y and you will have a quadratic in p to solve
    Ok, but what is P ?

    I don't understand it. Is a point on the graph where it touches the tangent C?
  4. TenOfThem's Avatar
    • TSR Royalty
    Re: Parametric Help
    (Original post by megafobia)

    a) Show that the tangent to C at the point P

    (Original post by megafobia)
    Ok, but what is P ?

    I don't understand it. Is a point on the graph where it touches the tangent C?
    Yes
  5. Mr M's Avatar
    • Community Assistant
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    • Location: Suffolk
    • Posts: 18,169
    Re: Parametric Help
    (Original post by megafobia)
    Ok, but what is P ?

    I don't understand it. Is a point on the graph where it touches the tangent C?
    The point at which the tangent touches the curve is P.
  6. megafobia's Avatar
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    • Posts: 140
    Re: Parametric Help
    (Original post by Mr M)
    The point at which the tangent touches the curve is P.
    The point P is at (1.5 , 0.5)?
  7. TenOfThem's Avatar
    • TSR Royalty
    Re: Parametric Help
    (Original post by megafobia)
    The point P is at (1.5 , 0.5)?
    one possibility for p = 1.5 and the other is 0.5

    have you then found (x,y)
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