Matematika

Pertanyaan

persamaanya lingkaran yg berpusat diP(-3,4)dan meyingung hairs 6x-8y+25=0 mempuyai jari -jari : A.1/10 B21/2 C.5 D 73/10 E.10

2 Jawaban

  • misal 6x - 8y + 25 = 0 ---> ax + by + c = 0

    P(-3, 4) = (m, n)

    r = am + bn + c / akar (a^2 + b^2)
    = 6(-3) + 4(-8) + 25 / akar (6^2 + (-8)^2)
    = -18 - 32 + 25 / akar (36 + 64)
    = -25 / akar 100
    = -25/10
    = -5/2
    = -2 1/2 (dimutlakin)
    = 2 1/2
    Jawaban: B
  • rumus jarak
    garis: ax + bx + c = 0
    ke titik (x₁,y₁)
    r= |ax₁+by₁+c / √a² + b²|
    r=|6.(-3) + (-8).4+25/√6² + -8²|
     = |-18 - 32 + 25 / 10|
     = |-25/10|
     = 2 1/2

Pertanyaan Lainnya