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Friday, 9 October

JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 25 July 2022, Shift 1, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

Let PP be the plane containing the straight line x−39=y+4−1=z−7−5\frac{x-3}{9}=\frac{y+4}{-1}=\frac{z-7}{-5} and perpendicular to the plane containing the straight lines x2=y3=z5\frac{x}{2}=\frac{y}{3}=\frac{z}{5} and x3=y7=z8\frac{x}{3}=\frac{y}{7}=\frac{z}{8}. If dd is the distance of PP from the point (2,−5,11)(2,-5,11), then d2d^2 is equal to :
  1. (1)1472\frac{147}{2}
  2. (2)9696
  3. (3)323\frac{32}{3}Official answer
  4. (4)5454

Official answer

Option 3

NTA final key (2022 Session 2).

Chapter
Three Dimensional Geometry
Topic
Planes in 3D
Idea tested
Plane Containing a Line and a Point

Same idea in other shifts

Asked 2× in all
  1. 8 Apr 2023, Shift 2 · Q13Let PP be the plane passing through the line x−11=y−2−3=z+57\frac{x-1}{1} = \frac{y-2}{-3} = \frac{z+5}{7} and the point (2,4,−3)(2, 4, -3). If the image of…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.