Roboguru

Jarak antara titik  dan  adalah ....

Pertanyaan

Jarak antara titik straight T open parentheses negative 2 comma space minus 6 close parentheses dan straight V open parentheses 0 comma space 1 close parentheses adalah ....

Pembahasan Soal:

Ingat kembali jarak antara straight A open parentheses straight x subscript 1 comma space straight y subscript 1 close parentheses dan straight B open parentheses straight x subscript 2 comma space straight y subscript 2 close parentheses adalah:

open vertical bar AB close vertical bar equals square root of open parentheses straight x subscript 2 minus straight x subscript 1 close parentheses squared plus open parentheses straight y subscript 2 minus straight y subscript 1 close parentheses squared end root 

Diketahui titik straight T open parentheses negative 2 comma space minus 6 close parentheses dan straight V open parentheses 0 comma space 1 close parentheses, misalkan:

straight T open parentheses negative 2 comma negative 6 close parentheses rightwards arrow straight x subscript 1 equals negative 2 comma space straight y subscript 1 equals negative 6 straight V open parentheses 0 comma 1 close parentheses rightwards arrow straight x subscript 2 equals 0 comma space straight y subscript 2 equals 1 

Maka:

open vertical bar TV close vertical bar equals square root of open parentheses straight x subscript 2 minus straight x subscript 1 close parentheses squared plus open parentheses straight y subscript 2 minus straight y subscript 1 close parentheses squared end root open vertical bar TV close vertical bar equals square root of open parentheses 0 minus open parentheses negative 2 close parentheses close parentheses squared plus open parentheses 1 minus open parentheses negative 6 close parentheses close parentheses squared end root open vertical bar TV close vertical bar equals square root of open parentheses 2 close parentheses squared plus open parentheses 7 close parentheses squared end root open vertical bar TV close vertical bar equals square root of 4 plus 49 end root open vertical bar TV close vertical bar equals square root of 53 

Jadi, jarak antara titik straight T open parentheses negative 2 comma space minus 6 close parentheses dan straight V open parentheses 0 comma space 1 close parentheses adalah square root of 53.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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