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Tangents are drawn to the parabola y^2=...

Tangents are drawn to the parabola `y^2=12x` at the points `A, B and C` such that the three tangents form a triangle PQR. If `theta_1,theta_2 and theta_3` be the inclinations of these tangents with the axis of x such that their cotangents form an arithmetical progression (in the same order) with common difference 2. Find the area of the triangle PQR.

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