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Saturday, 31 October

JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 25 July 2022, Shift 1, Maths Q30

Question 30 of 90 in this shift, Maths question 30 of 30, Section B. NTA dropped this question from the final key; it is left out of every count on this site.

The line of shortest distance between the lines x−20=y−11=z1\frac{x-2}{0}=\frac{y-1}{1}=\frac{z}{1} and x−32=y−52=z−11\frac{x-3}{2}=\frac{y-5}{2}=\frac{z-1}{1} makes an angle of cos⁡−1(227)\cos^{-1}\left(\sqrt{\frac{2}{27}}\right) with the plane P:ax−y−z=0P:ax-y-z=0, (a>0)(a>0). If the image of the point (1,1,−5)(1,1,-5) in the plane PP is (α,β,γ)(\alpha,\beta,\gamma), then α+β−γ\alpha+\beta-\gamma is equal to ______.

Official answer

Dropped by NTA (marks given to all)

NTA final key (2022 Session 2).

Chapter
Three Dimensional Geometry
Topic
Skew Lines
Idea tested
Equation of Shortest Distance Line

Same idea in other shifts

Asked 1× in all
  1. 1 Feb 2024, Shift 1 · Q30Let the line of the shortest distance between the lines L1:r⃗=(i^+2j^+3k^)+λ(i^−j^+k^)L_1:\vec{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda(\hat{i}-\hat{j}+\hat{k}) and…MediumNumerical value

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 108 of the 174 JEE Main shifts held from 2017 to 2026.