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Persamaan garis singgung Elips 4 x 2 + y 2 − 8 x + 2 y − 3 = 0 pada titik ( 2 , 1 ) adalah…

Persamaan garis singgung Elips $4 x^{2} + y^{2} - 8 x + 2 y - 3 = 0$ pada titik $(2, 1)$ adalah…

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Habis dalam

Klaim

A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$Gunakan space kadiah space membagi space adil space colonx squared rightwards arrow x subscript 1 xy squared rightwards arrow y subscript 1 yx rightwards arrow fraction numerator x subscript 1 plus x over denominator 2 end fractiony rightwards arrow fraction numerator y subscript 1 plus y over denominator 2 end fraction4 x squared plus y squared minus 8 x plus 2 y minus 3 equals 04 x subscript 1 x plus y subscript 1 y minus 8 open parentheses fraction numerator x subscript 1 plus x over denominator 2 end fraction close parentheses plus 2 open parentheses fraction numerator y subscript 1 plus y over denominator 2 end fraction close parentheses minus 3 equals 0space space space space space space space space open parentheses x subscript 1 comma y subscript 1 close parentheses equals left parenthesis 2 comma 1 right parenthesis4 left parenthesis 2 right parenthesis x plus left parenthesis 1 right parenthesis y minus 8 open parentheses fraction numerator 2 plus x over denominator 2 end fraction close parentheses plus 2 open parentheses fraction numerator 1 plus y over denominator 2 end fraction close parentheses minus 3 equals 08 x plus y minus 8 minus 4 x plus 1 plus y minus 3 equals 04 x plus 2 y minus 10 equals 02 x plus y minus 5 equals 0$