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JEE Main 2021 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 16 March 2021, Shift 2, Maths Q83

Question 83 of 90 in this shift, Maths question 23 of 30, Section B.

If the distance of the point (1,

-2

, 3) from the plane

x+2y-3z+10=0

measured parallel to the line,

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

is

\sqrt{\frac72}

, then the value of

|m|

is equal to ________.

Official answer

2

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Point-Plane Distance
Idea tested: Distance Along a Line

Same idea in other shifts

Asked 2× in all

4 Apr 2026, Shift 1 · Q15The square of the distance of the point $(-2,-8,6)$ from the line $\frac{x-1}{1}=\frac{y-1}{2}=\frac{z}{-1}$ along the line…MediumSingle 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 42 of the 174 JEE Main shifts held from 2017 to 2026.