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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

There is a point (p, q) on the graph of f(x) = x^2 and a point (r, s) on the graph of g(x) = -8/x , where p > 0 and r > 0 . If the line through (p, q) and (r, s) is also tangent to both the curves at these points respectively, then find the value of (p + r) .

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5

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