# Tangent and normal and tangent

Geometry Level pending

The tangent and normal at the point $$P=(at^2,2at)$$ to the parabola $$y^2=4ax$$ meet the $$x$$-axis in $$T$$ and $$G$$ respectively, then the angle at which the tangent at $$P$$ to the parabola is inclined to the tangent at $$P$$ to the circle through $$P,T$$ and $$G$$ is equal to $$\text{__________}$$.

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