Matematika

Pertanyaan

persamaan garis singgung x2+y2= 36 sejajar garis 3x+4y+20=0?

1 Jawaban

  • Pe_Ge_eS_eL

    Lingkaran
    x² + y² = 36
    P(0,0)
    r = √36 = 6

    Garis
    3x + 4y + 20 = 0
    m1 = -a/b = -3/4

    sejajar : m1 = m2 = m = -3/4

    PGSL dg P(0,0) , m = -3/4 dan r = 6 :
    y = mx ± r√(1 + m²)
    y = -3/4 x ± 6√(1 + 9/16)
    y = -3/4 x ± 6 . 5/4
    y = -3/4 x ± 15/2

    PGSL_1
    y = -3/4 x + 15/2
    y = 1/4 (-3x + 30)
    4y = -3x + 30
    3x + 4y - 30 = 0

    PGSL_2
    y = -3/4 x - 15/2
    y = 1/4 (-3x - 30)
    3x + 4y + 30 = 0

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