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Parabola question

2025 · 23 Jan · Shift 1 · Q40

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JEE Main
Mathematics
Parabola
2025 · 23 Jan · Shift 1 · Q40

Parabola question

2025 · 23 Jan · Shift 1 · Q40

JEE MainMathematicsParabolaMCQ+4 / −1

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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