JEE Main Maths · Three Dimensional Geometry

Point-Plane Distance in JEE Main

Name: Point-Plane Distance: JEE Main previous year questions
Creator: Lumi

Point-Plane Distance (Maths, Three Dimensional Geometry) came 9 times in 7 of the 42 JEE Main shifts Lumi analysed, across 6 distinct ideas. 1 of them came in 2024–26; it was last asked in 2026.

Questions: 9; in 7 shifts
Ideas asked: 6; 3 asked more than once
Numerical answer: 3; 33% of its questions
Pattern: Frequent; rarely asked since 2024

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 1Medium 7Hard 1

Format

Single correct6 Q
Numerical value3 Q

Ideas inside the topic

6 ideas

Distance Along a Line2 Q
Foot of Perpendicular2 Q
Image of a Point2 Q
Distance from Point1 Q
Generating Parallel Planes at a Given Distance1 Q
Unknown Parameter from Distance1 Q

Where it sits

Part of Three Dimensional Geometry, which had 84 questions in all. Point-Plane Distance accounts for 11% of them. In Lumi's JEE taxonomy it belongs to Vectors and 3D Geometry.

Every question

All 9 Point-Plane Distance questions

Newest first, each with its options and official answer.

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
28 Jul 2022, Shift 1 · Q16The foot of the perpendicular from a point on the circle $x^2+y^2=1,\ z=0$ to the plane $2x+3y+z=6$ lies on which one of the following…HardSingle correct
29 Jun 2022, Shift 1 · Q3If the mirror image of the point $(2, 4, 7)$ in the plane $3x - y + 4z = 2$ is $(a, b, c)$ , then $2a + b + 2c$ is equal to :EasySingle correct
29 Jun 2022, Shift 1 · Q23Let $d$ be the distance between the foot of perpendiculars of the points $P(1, 2, -1)$ and $Q(2, -1, 3)$ on the plane $-x + y + z = 1$ .…MediumNumerical value
3 Aug 2021, Shift 2 · Q77A 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…MediumSingle correct
16 Mar 2021, Shift 2 · Q83If the distance of the point (1, $-2$ , 3) from the plane $x+2y-3z+10=0$ measured parallel to the line,…MediumNumerical value
18 Mar 2021, Shift 1 · Q86The equation of the planes parallel to the plane $x-2y+2z-3=0$ which are at unit distance from the point $(1,2,3)$ is $ax+by+cz+d=0$ . If…MediumNumerical value
2 Apr 2017 (offline) · Q82The distance of the point $(1,3,-7)$ from the plane passing through the point $(1,-1,-1)$ , having normal perpendicular to both the lines…MediumSingle correct
2 Apr 2017 (offline) · Q83If the image of the point $P(1,-2,3)$ in the plane, $2x+3y-4z+22=0$ measured parallel to the line, $\frac{x}{1}=\frac{y}{4}=\frac{z}{5}$ …MediumSingle correct