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If the line \(3x-2y+12=0\) intersects the parabola \(4y=3{x}^{2}\) at the points A and B , then at the vertex of the par…

Q1

If the line \(3x-2y+12=0\) intersects the parabola \(4y=3{x}^{2}\) at the points A and B, then at the vertex of the parabola, the line segment \(AB\) subtends an angle equal to

a

\({\tan }^{-1}\left(\frac{11}{9}\right)\)

b

\(\frac{\pi }{2}-{\tan }^{-1}\left(\frac{3}{2}\right)\)

c

\({\tan }^{-1}\left(\frac{4}{5}\right)\)

d

\({\tan }^{-1}\left(\frac{9}{7}\right)\)

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