If two tangents drawn from a point (a, b...

If two tangents drawn from a point (a, b) lying on the ellipse `25x^2 +4y^2=1` to the parabola `y^2=4x` are such that the slope of one tangent is four times the other, then the value of `(10alpha + 5)^2 + (16beta^2 +50)^2` equals _____

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