JEE Math Practice Question
If the line $3 x-2 y+12=0$ intersects the parabola $4 y=3 x^2$ at the points $A$ and $B$, then at the vertex of the parabola, the line segment AB subtends an angle equal to
- A.$\frac{\pi}{2}-\tan ^{-1}\left(\frac{3}{2}\right)$
- B.$\tan ^{-1}\left(\frac{9}{7}\right)$
- C.$\tan ^{-1}\left(\frac{11}{9}\right)$
- D.$\tan ^{-1}\left(\frac{4}{5}\right)$
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