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Friday, 9 October

JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 6 September 2020, Shift 2, Maths Q67

Question 67 of 75 in this shift, Maths question 17 of 25.

A plane P meets the coordinate axes at A, B and C respectively. The centroid of Δ\DeltaABC is given to be (1,1,2)(1,1,2). Then the equation of the line through this centroid and perpendicular to the plane P is :
  1. (1)x−11=y−11=z−22\frac{x-1}{1}=\frac{y-1}{1}=\frac{z-2}{2}
  2. (2)x−12=y−11=z−21\frac{x-1}{2}=\frac{y-1}{1}=\frac{z-2}{1}
  3. (3)x−11=y−12=z−22\frac{x-1}{1}=\frac{y-1}{2}=\frac{z-2}{2}
  4. (4)x−12=y−12=z−21\frac{x-1}{2}=\frac{y-1}{2}=\frac{z-2}{1}Official answer

Official answer

Option 4

NTA final key (Sep 2020).

Chapter
Three Dimensional Geometry
Topic
Planes in 3D
Idea tested
Intercept Form of Plane

Same topic in other shifts

All Planes in 3D questions
  1. 6 Apr 2023, Shift 1 · Q13If the equation of the plane passing through the line of intersection of the planes 2x−y+z=32x-y+z=3, 4x−3y+5z+9=04x-3y+5z+9=0 and parallel to the line…MediumSingle correct
  2. 6 Apr 2023, Shift 1 · Q30Let the image of the point (1,2,3)(1,2,3) in the plane 2x−y+z=92x-y+z=9 be Q. If the coordinates of the point R are (6,10,7)(6,10,7), then the square of…MediumNumerical value
  3. 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
  4. 8 Apr 2023, Shift 2 · Q14For a,b∈Za, b \in \mathbb{Z} and ∣a−b∣≤10|a - b| \leq 10, let the angle between the plane P:ax+y−z=bP: ax + y - z = b and the line…HardSingle correct
  5. 8 Apr 2023, Shift 2 · Q30Let P1P_1 be the plane 3x−y−7z=113x - y - 7z = 11 and P2P_2 be the plane passing through the points (2,−1,0)(2, -1, 0), (2,0,−1)(2, 0, -1), and (5,1,1)(5, 1, 1).…HardNumerical value
  6. 11 Apr 2023, Shift 1 · Q2Let (α,β,γ)(\alpha, \beta, \gamma) be the image of the point P(2,3,5)P(2, 3, 5) in the plane 2x+y−3z=62x + y - 3z = 6. Then α+β+γ\alpha + \beta + \gamma is…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.