JEE Main 2021 · MathsNumerical answerNumerical valueEasyApplication

JEE Main 4 August 2021, Shift 1, Maths Q87

Question 87 of 90 in this shift, Maths question 27 of 30, Section B.

Maximum number of lines, through the origin which make equal angles with the three coordinate axes in XYZ-space, is ________.

Official answer

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Angle Between Lines
Idea tested: Angle with Coordinate Axes

Same topic in other shifts

All Angle Between Lines questions

6 Apr 2026, Shift 1 · Q16Let a line L be perpendicular to both the lines $\mathrm{L}_1:\frac{x+1}{3}=\frac{y+3}{5}=\frac{z+5}{7}$ and…MediumSingle correct
11 Apr 2023, Shift 2 · Q28Let the line $l : x = \frac{1-y}{-2} = \frac{z-3}{\lambda}$ , $\lambda \in \mathbb{R}$ meet the plane $P : x + 2y + 3z = 4$ at the point…HardNumerical value
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
27 Jun 2022, Shift 1 · Q14If 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…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
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.