Bayangan tiitk (−2,8) oleh rotasi R(O,135∘) adalah ....

Pertanyaan

Bayangan tiitk begin mathsize 14px style left parenthesis negative 2 comma 8 right parenthesis end style oleh rotasi begin mathsize 14px style straight R left parenthesis straight O comma 135 degree right parenthesis end style adalah ....

  1. begin mathsize 14px style left parenthesis negative 3 square root of 2 comma negative 5 square root of 2 right parenthesis end style

  2. begin mathsize 14px style left parenthesis 3 square root of 2 comma 5 square root of 2 right parenthesis end style

  3. begin mathsize 14px style left parenthesis 3 square root of 2 comma negative 5 square root of 2 right parenthesis end style

  4. begin mathsize 14px style left parenthesis 5 square root of 2 comma negative 3 square root of 2 right parenthesis end style

  5. begin mathsize 14px style left parenthesis negative 3 square root of 2 comma 5 square root of 2 right parenthesis end style

N. Putri

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

begin mathsize 14px style open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell cos space 135 degree end cell cell negative sin space 135 degree end cell row cell sin space 135 degree end cell cell cos space 135 degree end cell end table close parentheses open parentheses table row cell negative 2 end cell row 8 end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative fraction numerator square root of 2 over denominator 2 end fraction end cell cell negative fraction numerator square root of 2 over denominator 2 end fraction end cell row cell fraction numerator square root of 2 over denominator 2 end fraction end cell cell negative fraction numerator square root of 2 over denominator 2 end fraction end cell end table close parentheses open parentheses table row cell negative 2 end cell row 8 end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell square root of 2 minus 4 square root of 2 end cell row cell negative square root of 2 minus 4 square root of 2 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative 3 square root of 2 end cell row cell negative 5 square root of 2 end cell end table close parentheses end style

Jadi, jawaban yang tepat adalah A.

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Garis l≡3x−y−1=0 dirotasi oleh [O(0, 0), R(4π​)]. Persamaan bayangan garis l yang terjadi berbentuk .... (Modifikasi UN 2014)

Jawaban terverifikasi

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