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A particle P moves in a straight line so that its displacement, s m, from a fixed point O , t seconds after passing through point A one the line , is given by s =t^2-3t^2-9t+30...

The curve y=x^2-3x-4 cuts the x axis at A and B. The tangents to the curve at A and B meet at T and the normals to the curve at A and B meet at N. Find the area of the quadrilateral ATBN.

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