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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 8 April 2025, Shift 2, Maths Q10

Question 10 of 75 in this shift, Maths question 10 of 25, Section A.

A line passing through the point P(a,0)P(a, 0) makes an acute angle α\alpha with the positive xx-axis. Let this line be rotated about the point PP through an angle α2\frac{\alpha}{2} in the clock-wise direction. If in the new position, the slope of the line is 2−32 - \sqrt{3} and its distance from the origin is 12\frac{1}{\sqrt{2}}, then the value of 3a2tan⁡2α−233a^2 \tan^2\alpha - 2\sqrt{3} is
  1. (1)8
  2. (2)5
  3. (3)6
  4. (4)4Official answer

Official answer

Option 4

NTA final key.

Chapter
Straight Lines
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.