Matematika

Pertanyaan

Bantu y kakak abang abng
Bantu y kakak abang abng

1 Jawaban

  • pusat (0,0) maka jari-jari adalah jarak (0,0) ke garis
    a ) 3x + 4y +10 = 0
    r = | 3.0 + 4.0 + 10 | / √(3^2+4^2)
    r = 10 / √(9+16)
    r = 10/√25
    r = 10/5
    r = 2
    L : x^2 + y^2 = 2^2
    L : x^2 + y^2 = 4
    b) 4x - 3y -5 = 0
    r = | 4.0 -3.0 -5 | / √(4^2+ -3^2)
    r = | -5 | / √(16+9)
    r = 5/√25
    r = 5/5 = 1
    L = x^2 + y^2 = 1^2
    L = x^2 + y^2 = 1
    c) y = 1/2x +5
    y - 1/2x - 5 = 0. (kalikan dengan -2)
    x - 2y +10 = 0
    r = | 0 - 2.0 +10 |/√(1^2 + -2^2)
    r = | 10 | /√(1 + 4)
    r = 10/√5
    L = x^2 + y^2 = (10/√5)^2
    L : x^2 + y^2 = 100/5
    L : x^2 + y^2 = 20