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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2025, Shift 2, Maths Q15

Question 15 of 75 in this shift, Maths question 15 of 25, Section A.

Let A be the point of intersection of the lines L1:x−71=y−50=z−3−1L_1:\frac{x-7}{1}=\frac{y-5}{0}=\frac{z-3}{-1} and L2:x−13=y+34=z+75L_2:\frac{x-1}{3}=\frac{y+3}{4}=\frac{z+7}{5}. Let B and C be the points on the lines L1L_1 and L2L_2 respectively such that AB=AC=15AB=AC=\sqrt{15}. Then the square of the area of the triangle ABC is :
  1. (1)54Official answer
  2. (2)60
  3. (3)63
  4. (4)57

Official answer

Option 1

NTA final key.

Chapter
Three Dimensional Geometry
Topic
Lines in 3D
Idea tested
Point of Intersection Calculation

Same idea in other shifts

Asked 3× in all
  1. 2 Apr 2026, Shift 1 · Q13If the point of intersection of the lines x+13=y+a5=z+b+17\frac{x+1}{3}=\frac{y+a}{5}=\frac{z+b+1}{7} and x−21=y−b4=z−2a7\frac{x-2}{1}=\frac{y-b}{4}=\frac{z-2a}{7}…MediumSingle correct
  2. 29 Jan 2024, Shift 1 · Q16Let PQR be a triangle with R(−1,4,2)R(-1,4,2). Suppose M(2,1,2)M(2,1,2) is the mid point of PQ. The distance of the centroid of ΔPQR\Delta PQR from the…MediumSingle correct

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.