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Lingkaran  didilatasikan dengan faktor skala  terh...

Lingkaran begin mathsize 14px style straight L colon space left parenthesis x minus 1 right parenthesis squared plus left parenthesis y plus 1 right parenthesis squared equals 9 end style didilatasikan dengan faktor skala begin mathsize 14px style 1 third end style terhadap titik pusat begin mathsize 14px style left parenthesis 1 comma space 2 right parenthesis end style. Hasil dilatasi lingkaran begin mathsize 14px style straight L end style adalah . . . .

  1. begin mathsize 14px style left parenthesis x plus 1 right parenthesis squared plus left parenthesis y plus 1 right parenthesis squared equals 1 end style 

  2.  begin mathsize 14px style left parenthesis x plus 1 right parenthesis squared plus left parenthesis y minus 1 right parenthesis squared equals 1 end style 

  3. begin mathsize 14px style left parenthesis x minus 1 right parenthesis squared plus left parenthesis y minus 1 right parenthesis squared equals 1 end style  

  4. begin mathsize 14px style left parenthesis x minus 2 right parenthesis squared plus left parenthesis y plus 2 right parenthesis squared equals 1 end style  

  5. begin mathsize 14px style left parenthesis x plus 2 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared equals 1 end style 

Jawaban:

begin mathsize 14px style left parenthesis x minus a right parenthesis squared plus open parentheses y minus b close parentheses squared equals r left parenthesis x minus 1 right parenthesis plus open parentheses y plus 1 close parentheses squared equals 9 squared end style

Koordinat titik pusat lingkaran adalah begin mathsize 14px style left parenthesis 1 comma negative 1 right parenthesis end style, akan didilatasikan dengan faktor skala begin mathsize 14px style 1 third end style terhadap titik pusat begin mathsize 14px style left parenthesis 1 comma space 2 right parenthesis end style :

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 k 0 row 0 k end table close parentheses open parentheses table row cell x minus a end cell row cell y minus b end cell end table close parentheses plus open parentheses table row a row b end table close parentheses space space space space space space space space equals open parentheses table row cell 1 third end cell 0 row 0 cell 1 third end cell end table close parentheses open parentheses table row cell 1 minus 1 end cell row cell negative 1 minus 2 end cell end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses space space space space space space space space equals open parentheses table row cell 1 third end cell 0 row 0 cell 1 third end cell end table close parentheses open parentheses table row 0 row cell negative 3 end cell end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses space space space space space space space space equals open parentheses table row 0 row cell negative 1 end cell end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses space space space space space space space space equals open parentheses table row 1 row 1 end table close parentheses end style

Hasil dilatasi lingkaran begin mathsize 14px style straight L end style adalah

begin mathsize 14px style left parenthesis x minus a right parenthesis squared plus open parentheses y minus b close parentheses squared equals r left parenthesis x minus 1 right parenthesis squared plus open parentheses y minus 1 close parentheses squared equals r end style 

Jadi, jawaban yang tepat adalah C.

 

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