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Let y = x line is median of the triangl...

Let `y = x` line is median of the triangle OAB where O is origin. Equatin `ax^2+ 2hxy + by^2=0, a, h, b in N`, represents combined equation of OA and OB. A and B lie on the ordinate `x = 3` . If slope of OA is twice the slope of OB, then greatest possible value of `a + 2h+ b` is

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