Matematika

Pertanyaan

tentukan persamaan garis yg melalui titik (12,5) dan menyinggung lingkaran x²+y²-14x-10y+58=0

1 Jawaban

  • a = -1/2 (-14) = 7
    b = -1/2 (-10) = 5
    r2 = (7-12)^2 + (5-5)^2
    = (-5)^2 = 25
    (x1-a)(x-a) + (y1-b)(y-b) = r^2
    (12-7)(x-7) + (5-5)(y-5) = 25
    5 (x-7) = 25
    5x-35 = 25
    ------------------:5
    x-7 = 5
    x-12 = 0

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