The slope of the line touching both the parabolas y^2=4x and x^2=-32y is
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Y^2 = 4X
X^2 = 32Y
X = Y^2 / 4
X^2 = Y^4 / 16 =32Y
Y^4 / Y = 32 * 16 =512.
Y = 8..
X = 64 / 4 = 16...
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