MyGoalPrep LogoMyGoalPrep.com

Jee Main 2025 — Medium JEE math MCQ

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

Solution

The correct option is **B**. (B. \( \tan^{-1} \left(\frac{9}{7}\right) \))

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
If the line 3x−2y+12=03x - 2y + 12 = 0 intersects the parabola 4y=3x24y = 3x^2 at the points AA and BB, then at the vertex of the parabola, the line segment ABAB subtends an angle equal to
AI hints
Ask for a nudge. Keep it specific.
Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep