JEE Main 2023 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 13 April 2023, Shift 2, Maths Q15

Question 15 of 90 in this shift, Maths question 15 of 30, Section A.

The line, that is coplanar to the line

\frac{x+3}{-3}=\frac{y-1}{1}=\frac{z-5}{5}

, is

(1) $\frac{x-1}{-1}=\frac{y-2}{2}=\frac{z-5}{5}$
(2) $\frac{x+1}{-1}=\frac{y-2}{2}=\frac{z-5}{5}$ Official answer
(3) $\frac{x+1}{-1}=\frac{y-2}{2}=\frac{z-5}{4}$
(4) $\frac{x+1}{1}=\frac{y-2}{2}=\frac{z-5}{5}$

Official answer

Option 2

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Skew Lines
Idea tested: Coplanarity Determinant Test

Same idea in other shifts

Asked 5× in all

6 Apr 2023, Shift 2 · Q28If the lines $\frac{x-1}{2}=\frac{2-y}{-3}=\frac{z-3}{\alpha}$ and $\frac{x-4}{5}=\frac{y-1}{2}=\frac{z}{\beta}$ intersect, then the…HardNumerical value
12 Apr 2023, Shift 1 · Q15Let the lines $l_1: \frac{x+5}{3}=\frac{y+4}{1}=\frac{z-\alpha}{-2}$ and $l_2: 3x+2y+z-2=0=x-3y+2z-13$ be coplanar. If the point…HardSingle correct
28 Jul 2022, Shift 2 · Q75Let the lines $\frac{x-1}{\lambda}=\frac{y-2}{1}=\frac{z-3}{2}$ and $\frac{x+26}{-2}=\frac{y+18}{3}=\frac{z+28}{\lambda}$ be coplanar and…MediumSingle correct
25 Jul 2021, Shift 2 · Q82If the lines $\frac{x-k}{1}=\frac{y-2}{2}=\frac{z-3}{3}$ and $\frac{x+1}{3}=\frac{y+2}{2}=\frac{z+3}{1}$ are co-planar, then the value of…EasyNumerical 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.