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Saturday, 10 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. 28 Jul 2022, Shift 1 · Q16The foot of the perpendicular from a point on the circle x2+y2=1, z=0x^2+y^2=1,\ z=0 to the plane 2x+3y+z=62x+3y+z=6 lies on which one of the following…HardSingle correct
  3. 29 Jun 2022, Shift 1 · Q3If 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 :EasySingle correct
  4. 29 Jun 2022, Shift 1 · Q23Let dd be the distance between the foot of perpendiculars of the points P(1,2,−1)P(1, 2, -1) and Q(2,−1,3)Q(2, -1, 3) on the plane −x+y+z=1-x + y + z = 1.…MediumNumerical value
  5. 3 Aug 2021, Shift 2 · Q77A plane intersects the yzyz-plane at x=0, 2y−3z=5x = 0,\ 2y - 3z = 5 and it intersects the xyxy-plane at z=0, 7x+4y=10z = 0,\ 7x + 4y = 10. Then the distance…MediumSingle correct
  6. 16 Mar 2021, Shift 2 · Q83If the distance of the point (1, −2-2, 3) from the plane x+2y−3z+10=0x+2y-3z+10=0 measured parallel to the line,…MediumNumerical value

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