Persamaan garis yang bergradien -2 dan menyinggung lingkaran $$x^2+y^2=12$$ adalah ...

$$y=2x+2\sqrt[]{5}$$ atau $$y=2x-2\sqrt[]{5}$$

$$y=2x+2\sqrt[]{15}$$ atau $$y=2x-2\sqrt[]{15}$$

$$y=-2x+2\sqrt[]{15}$$ atau $$y=-2x-2\sqrt[]{15}$$

$$y=-2x+2\sqrt[]{5}$$ atau $$y=-2x-2\sqrt[]{5}$$

Pusat dan jari-jari lingkaran dengan persamaan $$x^2+y^2+Ax+By+C=0$$ adalah ...

$$\left(\frac{A}{2},\frac{B}{2}\right)$$ dan $$r=\sqrt[]{\left(-\frac{A}{2}\right)^2+\left(-\frac{B}{2}\right)^2-C}$$

$$\left(-\frac{A}{2},-\frac{B}{2}\right)$$ dan $$r=\sqrt[]{\left(-\frac{A}{2}\right)^2+\left(-\frac{B}{2}\right)^2+C}$$

$$\left(\frac{A}{2},\frac{B}{2}\right)$$ dan $$r=\sqrt[]{\left(-\frac{A}{2}\right)^2+\left(-\frac{B}{2}\right)^2+C}$$

$$\left(-\frac{A}{2},-\frac{B}{2}\right)$$ dan $$r=\sqrt[]{\left(-\frac{A}{2}\right)^2+\left(-\frac{B}{2}\right)^2-C}$$

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Practice Problem

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Hard

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Persamaan lingkaran yang berpusat di titik (-4,3) dan melalui titik (2,1) adalah ...

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Persamaan lingkaran yang berdiameter ruas garis AB dengan koordinat titik A(1,-2) dan B(-1,2) adalah ...

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(1,-2) dan 12

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Persamaan lingkaran yang berpusat di A(-4,2) dan menyinggung sumbu Y adalah ...

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