JEE Main 2021 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 18 March 2021, Shift 1, Maths Q86

Question 86 of 90 in this shift, Maths question 26 of 30, Section B.

The equation of the planes parallel to the plane

x-2y+2z-3=0

which are at unit distance from the point

(1,2,3)

ax+by+cz+d=0

. If

(b-d)=K(c-a)

, then the positive value of K is __________.

Official answer

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Point-Plane Distance
Idea tested: Generating Parallel Planes at a Given Distance

Same topic in other shifts

All Point-Plane Distance questions

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

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.