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Friday, 9 October

JEE Main 2022 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 29 June 2022, Shift 1, Maths Q3

Question 3 of 90 in this shift, Maths question 3 of 30, Section A.

If the mirror image of the point (2,4,7)(2, 4, 7) in the plane 3x−y+4z=23x - y + 4z = 2 is (a,b,c)(a, b, c), then 2a+b+2c2a + b + 2c is equal to :
  1. (1)54
  2. (2)50
  3. (3)−6-6Official answer
  4. (4)−42-42

Official answer

Option 3

NTA final key (2022 Session 1).

Chapter
Three Dimensional Geometry
Topic
Point-Plane Distance
Idea tested
Image of a Point

Same idea in other shifts

Asked 2× in all
  1. 2 Apr 2017 (offline) · Q83If the image of the point P(1,−2,3)P(1,-2,3) in the plane, 2x+3y−4z+22=02x+3y-4z+22=0 measured parallel to the line, x1=y4=z5\frac{x}{1}=\frac{y}{4}=\frac{z}{5}…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.