The line lx - my - n -0 is normal to the circle x 2- y 2-2 g x -2 fy - c -0- ifA- - mf - n -0B - lg - mf - n -0C- - mf - n -0D - - mf - n -0

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Normal

The line lx +...

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The line $l x + m y + n = 0$ is normal to the circle $x^{2} + y^{2} + 2 g x + 2 f y + c = 0,$ if

l g + m f + n = 0

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l g + m f - n = 0

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l g - m f - n = 0

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l g - m f + n = 0

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l x + m y + n = 0

x^{2} + y^{2} + 2 g x + 2 f y + c = 0

x^{2} + y^{2} + 2 g x + 2 f y + c = 0

\frac{l g + m f + 1}{l^{2} + m^{2}} =

l x + m y + n = 0

x^{2} + y^{2} + 2 g x + 2 f y + c = 0,

l x + m y + n = 0

x^{2} + y^{2} + 2 g x + 2 f y + c = 0

4 l^{2} + 3 m^{2} + n^{2} + 2 m n = 0

| g + f + c |

l x + m y + n = 0

x^{2} + y^{2} = r^{2}

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