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celticcat:
Two parabolas y^2 = 4a(x - L1) and x^2 = 4a(y - L2) always touch one another, the quantities L1 and L2 are both variables. Locus of their point of contact has the equation: xy = a^2 xy = 2a^2 xy = 4a^2 None of these. I don't see how to approach this one.
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