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Tangent and normal are drawn at the uppe...

Tangent and normal are drawn at the upper end `(x_1, y_1)` of the latus recturm `P` with `x_1 > 0` and `y_1 > 0,` of the hyperbola `x^2/4-y^2/12=1` intersecting the transverse axis at `T` and `G ` respectively. Find the triangle area `PTG`

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