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Find the equation to the tangents to the...

Find the equation to the tangents to the parabola `y^(2) = 9x` which goes through the point (4, 10).

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Knowledge Check

  • The equation of the tangent to the parabola y^(2)=9x , which passes through the point (4, 10) is:

    A
    `x+4y+1=0`
    B
    `9x+4y+4=0`
    C
    `x-4y+36=0`
    D
    `19x-14y+4=0`
  • Find the equation of the tangent to the circle x^2 + y^2 = 9 , which passes through the point on the circle where x = 2 and y is positive.

    A
    `sqrt5y = 2x -9`
    B
    `sqrt5y = -2x +9`
    C
    `2y=-sqrt5x + 4sqrt5`
    D
    `2y=-sqrt5x - 4sqrt5`