JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 August 2021, Shift 2, Maths Q77

Question 77 of 90 in this shift, Maths question 17 of 30, Section A.

A plane intersects the

yz

-plane at

x = 0,\ 2y - 3z = 5

and it intersects the

xy

-plane at

z = 0,\ 7x + 4y = 10

. Then the distance of the point

(1, -2, -1)

from this plane is

(1) $\frac{1}{\sqrt{101}}$
(2) $\frac{3}{\sqrt{101}}$
(3) $\frac{5}{\sqrt{101}}$ Official answer
(4) $\frac{7}{\sqrt{101}}$

Official answer

Option 3

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Point-Plane Distance
Idea tested: Distance from Point

Same idea in other shifts

Asked 3× in all

8 Apr 2023, Shift 1 · Q28Let $\lambda_1,\lambda_2$ be the values of $\lambda$ for which the points $\left(\frac{5}{2},1,\lambda\right)$ and $(-2,0,1)$ are at equal…MediumNumerical value
10 Apr 2023, Shift 1 · Q14Let P be the point of intersection of the line $\frac{x+3}{3}=\frac{y+2}{1}=\frac{1-z}{2}$ and the plane $x+y+z=2$ . If the distance of the…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 108 of the 174 JEE Main shifts held from 2017 to 2026.