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pre-calculus

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tangents are drawn from the point (-4,0) to the circle x^2 +y^2 =1. find the slopes of the tangent.

  • pre-calculus - ,

    If the tangent hits the circle at (h,k)
    it has length
    L^2 + 1 = 16
    L = sqrt(15)

    h^2 + k^2 = 1
    (4+h)^2 + k^2 = 15

    Solve for h,k, and the slope is
    k/(4+h)

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