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For some positive integers t, y + 5 = (1/t) * (x^2) intersects x^2 + y^2...

For some positive integers t, y + 5 = (1/t) * (x^2) intersects x^2 + y^2 = 25 at exactly 3 points P, Q, and R (distinct from one another). Determine the positive integers t for which the area of triangle PQR is an integer.

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