Verified Solution • 2025–26 Session moderate

QJEEM25Ma7d7f: JEE Main 2025 Mathematics - Class 11 JEEM25Ma7d7f Solution: If the line intersects the parabola at the points and , then at …

If the line 3x−2y+12=03 x-2 y+12=0 intersects the parabola 4y=3x24 y=3 x^2 at the points AA and BB , then at the vertex of the parabola, the line segment AB subtends an angle equal to

Multiple Choice Options

  • A π2−tan⁡−1(32)\frac{\pi}{2}-\tan ^{-1}\left(\frac{3}{2}\right)
  • B tan⁡−1(97)\tan ^{-1}\left(\frac{9}{7}\right)
  • C tan⁡−1(119)\tan ^{-1}\left(\frac{11}{9}\right)
  • D tan⁡−1(45)\tan ^{-1}\left(\frac{4}{5}\right)

Step-by-Step Verified Solution

JEE Main 2025 (Online) 23rd January Morning Shift Mathematics - Parabola Question 5 English Explanation

3x−2y+12=04y=3x2∴2(3x+12)=3x2⇒x2−2x−8=0⇒x=−2,4 mOA=−3/2, mOB=3tan⁡θ=(−32−31−92)=97θ=tan−1⁡(97) (angle will be acute) 

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