parabola

Two parabolas y2=4a (x-lambda1) and x2=4a (x-lambda2) always touch each other(lambda1,lambda2 being variable parametres). then their point of contact lies on a

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Kumar Saurabh ·

y2=4a (x-λ1)
x2=4a (y-λ2) {I think your second equation wrong!)

y2/4a + λ1 =x

substitute x in the 2nd equation

(y2/4a + λ1)2 = 4a(y-λ2)

This should have only one real root. (or 2 repeated roots!)

am i right?

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