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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 6 April 2026, Shift 1, Maths Q12

Question 12 of 75 in this shift, Maths question 12 of 25, Section A.

Let chord PQ of length 3133\sqrt{13} of the parabola y2=12xy^2=12x be such that the ordinates of points P and Q are in the ratio 1:2. If the chord PQ subtends an angle α\alpha at the focus of the parabola, then sin⁡α\sin\alpha is equal to:
  1. (1)35\frac{3}{5}Official answer
  2. (2)45\frac{4}{5}
  3. (3)513\frac{5}{13}
  4. (4)1213\frac{12}{13}

Official answer

Option 1

NTA final key.

Chapter
Conic Sections
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.