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The condition that the parabolas y^2=4c(...

The condition that the parabolas `y^2=4c(x-d)` and `y^2=4ax` have a common normal other than X-axis `(agt0,cgt0)` is

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Obtained the condition that the parabola y^(2)=4b(x-c)andy^(2)=4ax have a common normal other than x-axis (agtbgt0) .

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