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A curve y=f(x) passing through origin an...

A curve `y=f(x)` passing through origin and `(2, 4)`. Through a variable point `P (a, b)` on the curve,lines are drawn parallel to coordinates axes. The ratio of area formed by the curve `y=f(x), x = 0,y=b` to the area formed by the `y=f(x), y=0, x=a` is equal to `2:1`. Equation of line touching both the curves `y=f(x) and y^2 = 8x` is

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