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Pertanyaan

Tentukan posisi garis x - y + 1 = 0 terhadap lingkaran x 2 + y 2 = 25 . Jika berpotongan, maka titik potongnya adalah ......

Tentukan posisi garis x - y + 1 = 0 terhadap lingkaran . Jika berpotongan, maka titik potongnya adalah ......

  1. left parenthesis 4 comma space 3 right parenthesis space d a n space left parenthesis 3 comma space 4 right parenthesis

  2. left parenthesis negative 4 comma space minus 3 right parenthesis space d a n space left parenthesis 3 comma space 4 right parenthesis

  3. (-4, -3) dan (-3, -4)

  4. (4, 3) dan (-3, -4)

  5.  (-4, 3) dan (3, -4)

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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Pembahasan

x minus y plus 1 equals 0 rightwards arrow y equals x plus 1 space..... left parenthesis 1 right parenthesis  x squared plus y squared equals 25 space...... space left parenthesis 2 right parenthesis    D a r i space p e r s a m a a n space left parenthesis 1 right parenthesis space d i s u b t i t u s i k a n space k e space p e r s a m a a n space left parenthesis 2 right parenthesis colon  x squared plus y squared equals 25  x squared plus left parenthesis x plus 1 right parenthesis squared equals 25  x squared plus x squared plus 2 x plus 1 equals 25  x squared plus x squared plus 2 x plus 1 minus 25 equals 0  2 x squared plus 2 x minus 24 equals 0  x squared plus x minus 12 equals 0    D equals b squared minus 4 a c  equals 12 minus 4.1 left parenthesis negative 12 right parenthesis  equals 1 plus 48  equals 49 greater than 0

T e r n y a t a space D greater than 0 comma space s e h i n g g a space g a r i s space x minus y plus 1 space m e m o t o n g space l i n g k a r a n comma space x squared plus y squared equals 25 space d i space d u a space t i t i k space y a n g space b e r b e d a. space T i t i k minus t i t i k space p o t o n g n y a colon  x squared plus x minus 12 equals 0  left parenthesis x plus 4 right parenthesis left parenthesis x minus 3 right parenthesis equals 0  x plus 4 equals 0 space a t a u space x minus 3 equals 0  x equals negative 4 space a t a u space x equals 3    U n t u k space x equals negative 4 space d i s u b s t i t u s i k a n space k e space p e r s a m a a n colon  y equals x plus 1 equals negative 4 plus 1  space space equals negative 3 rightwards arrow left parenthesis negative 4 comma negative 3 right parenthesis    U n t u k space x equals 3 space d i s u b s t i t u s i k a n space k e space p e r s a m a a n colon  y equals x plus 1 equals 3 plus 1  space space equals 4 rightwards arrow left parenthesis 3 comma 4 right parenthesis  J a d i comma space t i t i k space p o t o n g n y a space a d a l a h space left parenthesis negative 4 comma negative 3 right parenthesis space d a n space left parenthesis 3 comma 4 right parenthesis

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