JEE Main 2021 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 3 August 2021, Shift 1, Maths Q75

Question 75 of 90 in this shift, Maths question 15 of 30, Section A.

The distance of the origin from the point of intersection of the line,

\frac{x}{2} = \frac{y + 1}{3} = \frac{z - 1}{-1}

and the plane,

2x + y + 6z + 1 = 0

(1) $4\sqrt{6}$
(2) $2\sqrt{3}$
(3) $\sqrt{544}$
(4) $\sqrt{554}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Planes in 3D
Idea tested: Intersection Point of Line and Plane

Same idea in other shifts

Asked 3× in all

27 Jul 2022, Shift 1 · Q23Let the line $\dfrac{x-3}{7} = \dfrac{y-2}{-1} = \dfrac{z-3}{-4}$ intersect the plane containing the lines…HardNumerical value
24 Feb 2021, Shift 1 · Q77The distance of the point $(1, 1, 9)$ from the point of intersection of the line $\frac{x - 3}{1} = \frac{y - 4}{2} = \frac{z - 5}{2}$ and…EasySingle correct

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.