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Saturday, 31 October

JEE Main 2017 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2017 (offline), Maths Q82

Question 82 of 90 in this shift, Maths question 22 of 30.

The distance of the point (1,3,−7)(1,3,-7) from the plane passing through the point (1,−1,−1)(1,-1,-1), having normal perpendicular to both the lines x−11=y+2−2=z−43\frac{x-1}{1}=\frac{y+2}{-2}=\frac{z-4}{3} and x−22=y+1−1=z+7−1\frac{x-2}{2}=\frac{y+1}{-1}=\frac{z+7}{-1}, is :
  1. (1)1083\frac{10}{\sqrt{83}}Official answer
  2. (2)583\frac{5}{\sqrt{83}}
  3. (3)1074\frac{10}{\sqrt{74}}
  4. (4)2074\frac{20}{\sqrt{74}}

Official answer

Option 1

CBSE answer key (25/04/2017, used for result).

Chapter
Three Dimensional Geometry
Topic
Point-Plane Distance
Idea tested
Unknown Parameter from Distance

Same topic in other shifts

All Point-Plane Distance questions
  1. 4 Apr 2026, Shift 1 · Q15The square of the distance of the point (−2,−8,6)(-2,-8,6) from the line x−11=y−12=z−1\frac{x-1}{1}=\frac{y-1}{2}=\frac{z}{-1} along the line…MediumSingle correct
  2. 8 Apr 2023, Shift 1 · Q28Let λ1,λ2\lambda_1,\lambda_2 be the values of λ\lambda for which the points (52,1,λ)\left(\frac{5}{2},1,\lambda\right) and (−2,0,1)(-2,0,1) are at equal…MediumNumerical value
  3. 10 Apr 2023, Shift 1 · Q13Let two vertices of a triangle ABC be (2,4,6)(2,4,6) and (0,−2,−5)(0,-2,-5), and its centroid be (2,1,−1)(2,1,-1). If the image of the third vertex in the…MediumSingle correct
  4. 10 Apr 2023, Shift 1 · Q14Let P be the point of intersection of the line x+33=y+21=1−z2\frac{x+3}{3}=\frac{y+2}{1}=\frac{1-z}{2} and the plane x+y+z=2x+y+z=2. If the distance of the…MediumSingle correct
  5. 10 Apr 2023, Shift 2 · Q29Let the foot of perpendicular from the point A (4,3,1)(4, 3, 1) on the plane P : x−y+2z+3=0x - y + 2z + 3 = 0 be N. If B(5,α,β)(5, \alpha, \beta),…HardNumerical value
  6. 11 Apr 2023, Shift 2 · Q15Let PP be the plane passing through the points (5,3,0)(5,3,0), (13,3,−2)(13,3,-2) and (1,6,2)(1,6,2). For α∈N\alpha \in \mathbb{N}, if the distances of the…MediumSingle correct

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); 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.