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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 April 2025, Shift 2, Maths Q12

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

Let the sum of the focal distances of the point P(4,3)P(4,3) on the hyperbola H:x2a2−y2b2=1H:\frac{x^2}{a^2}-\frac{y^2}{b^2}=1 be 8538\sqrt{\frac{5}{3}}. If for H, the length of the latus rectum is ll and the product of the focal distances of the point P is m, then 9l2+6m9l^2+6m is equal to :
  1. (1)184
  2. (2)185Official answer
  3. (3)186
  4. (4)187

Official answer

Option 2

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.