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Friday, 9 October

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 April 2023, Shift 2, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

Let 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 the point (−1,3,4)(-1, 3, 4) in the plane PP is (α,β,γ)(\alpha, \beta, \gamma) then α+β+γ\alpha + \beta + \gamma is equal to
  1. (1)9
  2. (2)10Official answer
  3. (3)11
  4. (4)12

Official answer

Option 2

NTA final key.

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. 25 Jul 2022, Shift 1 · Q14Let 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…HardSingle 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.