Defining refined circles #1

Geometry Level 2

The line lx + my +n = 0 is normal to the circle x 2 + y 2 + 2 g x + 2 f y + c = 0 x^2+y^2+2gx+2fy+c=0 ,if

l g + m f − n = 0 lg+mf-n=0 l g − m f − n = 0 lg-mf-n=0 l g + m f + n = 0 lg+mf+n=0 l g − m f + n = 0 lg-mf+n=0

Parag Zode by Parag Zode , 24, India

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1 solution

Parag Zode
Jun 29, 2014

x 2 + y 2 + 2 g x + 2 f y + c = 0 x^2+y^2+2gx+2fy+c=0 is the equation.. Center: ( -g, -f) Line lx + my + n will pass through center -lg - fy + n = 0 Therefore lg + fy - n = 0

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Did the same way.

Niranjan Khanderia - 6 years, 11 months ago

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