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Let S_(1) = x ^(2) - y ^(2) + 2y - sqrt2 -1 and S_(2) = 4x ^(2) + 9y^(2) - 18y -27 be such that S_(1) =0 and S_(2) =0 intersect in four real points Q, R, S and T and let P be the point (2^(3//4),1) show that PQ + PR+PS +PT = 4, 2 sqrt ((36+9 sqrt2)/(13)). |
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