JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 June 2022, Shift 1, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

If two straight lines whose direction cosines are given by the relations

l+m-n=0

3l^2+m^2+cnl=0

are parallel, then the positive value of c is :

(1)6Official answer
(2)4
(3)3
(4)2

Official answer

Option 1

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Angle Between Lines
Idea tested: Parallelism Condition

Same topic in other shifts

All Angle Between Lines questions

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26 Jun 2022, Shift 1 · Q14If the two lines $l_1 : \frac{x-2}{3} = \frac{y+1}{-2}, z = 2$ and $l_2 : \frac{x-1}{1} = \frac{2y+3}{\alpha} = \frac{z+5}{2}$ are…MediumSingle correct
3 Aug 2021, Shift 2 · Q76Let $L_1$ and $L_2$ be two lines passing through the points $P(b-c, c-a, a-b)$ and $Q\left(\frac{1}{l}, \frac{1}{m}, \frac{1}{n}\right)$ …HardSingle correct
4 Aug 2021, Shift 1 · Q87Maximum number of lines, through the origin which make equal angles with the three coordinate axes in XYZ-space, is ________.EasyNumerical value
26 Aug 2021, Shift 2 · Q70A hall has a square floor of dimension $10\ \mathrm{m}\times10\ \mathrm{m}$ (see the figure) and vertical walls. If the angle GPH between…MediumSingle correctHas a figure

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.