Roboguru

Diketahui  dan . Jika  dan  segaris (kolinear) maka  adalah...

Pertanyaan

Diketahui begin mathsize 14px style A open parentheses 1 comma 2 comma 3 close parentheses comma B open parentheses 3 comma 3 comma 1 close parentheses comma end style dan begin mathsize 14px style C open parentheses 7 comma 5 comma negative 3 close parentheses end style. Jika begin mathsize 14px style A comma B comma end style dan begin mathsize 14px style C end style segaris (kolinear) maka begin mathsize 14px style stack A B space with rightwards arrow on top colon stack B C with rightwards arrow on top end style adalah...

  1. 1 : 2

  2. 2 : 1

  3. 2 : 5

  4. 5 : 7

  5. 7 : 5

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack A B with rightwards arrow on top end cell equals cell open square brackets table row 3 row 3 row 1 end table close square brackets minus open square brackets table row 1 row 2 row 3 end table close square brackets end cell row cell stack A B with rightwards arrow on top end cell equals cell open square brackets table row 2 row 1 row cell negative 2 end cell end table close square brackets end cell row cell stack B C with rightwards arrow on top end cell equals cell open square brackets table row 7 row 5 row cell negative 3 end cell end table close square brackets minus open square brackets table row 3 row 3 row 1 end table close square brackets end cell row cell stack B C with rightwards arrow on top end cell equals cell open square brackets table row 4 row 2 row cell negative 4 end cell end table close square brackets end cell end table end style 

Karena segaris, maka;

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack B C with rightwards arrow on top end cell equals cell k stack A B with rightwards arrow on top end cell row cell open square brackets table row 4 row 2 row cell negative 4 end cell end table close square brackets end cell equals cell k open square brackets table row 2 row 1 row cell negative 2 end cell end table close square brackets end cell row blank rightwards double arrow cell 4 equals 2 k end cell row k equals 2 end table end style 

sehingga,

begin mathsize 14px style stack A B space with rightwards arrow on top colon space stack B C with rightwards arrow on top equals 1 space colon space 2 end style 

Jadi, jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 10 Februari 2021

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