LOL' and MOM' are two chord of parabola $y^{2} = 4 a x$ with vertex A passing through a point O on its axis. Prove that the radical axis of the circles described on LL' and MM' as diameters passes though the vertex of the parabola.

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LOL' and MOM' are two chord of parabola

y^{2} = 4 a x

with vertex A passing through a point O on its axis. Prove that the radical axis of the circles described on LL' and MM' as diameters passes though the vertex of the parabola.

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Question Text

LOL' and MOM' are two chord of parabola

y^{2} = 4 a x

with vertex A passing through a point O on its axis. Prove that the radical axis of the circles described on LL' and MM' as diameters passes though the vertex of the parabola.

LOL' and MOM' are two chord of parabola $y^{2} = 4 a x$ with vertex A passing through a point O on its axis. Prove that the radical axis of the circles described on LL' and MM' as diameters passes though the vertex of the parabola.

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Practice questions from similar books

LOL' and MOM' are two chord of parabola y2=4ax with vertex A passing through a point O on its axis. Prove that the radical axis of the circles described on LL' and MM' as diameters passes though the vertex of the parabola.

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Practice questions from similar books

LOL' and MOM' are two chord of parabola $y^{2} = 4 a x$ with vertex A passing through a point O on its axis. Prove that the radical axis of the circles described on LL' and MM' as diameters passes though the vertex of the parabola.