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

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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 · Q13Let two vertices of a triangle ABC be $(2,4,6)$ and $(0,-2,-5)$ , and its centroid be $(2,1,-1)$ . If the image of the third vertex in the…MediumSingle correct
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
10 Apr 2023, Shift 2 · Q29Let the foot of perpendicular from the point A $(4, 3, 1)$ on the plane P : $x - y + 2z + 3 = 0$ be N. If B $(5, \alpha, \beta)$ ,…HardNumerical value
11 Apr 2023, Shift 2 · Q15Let $P$ be the plane passing through the points $(5,3,0)$ , $(13,3,-2)$ and $(1,6,2)$ . For $\alpha \in \mathbb{N}$ , if the distances 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.