JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 4 August 2021, Shift 1, Maths Q88

Question 88 of 90 in this shift, Maths question 28 of 30, Section B.

If the distance between the point

(a, -1, 1)

(a>0)

and the plane passing through the points

(1, -2, 1)

(3, 1, 0)

and

(2, 0, 1)

\frac{7}{\sqrt{6}}

, then the value of 'a' is ________.

Official answer

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Planes in 3D
Idea tested: Plane Through Three Points

Same idea in other shifts

Asked 3× in all

8 Apr 2023, Shift 2 · Q30Let $P_1$ be the plane $3x - y - 7z = 11$ and $P_2$ be the plane passing through the points $(2, -1, 0)$ , $(2, 0, -1)$ , and $(5, 1, 1)$ .…HardNumerical value
3 Aug 2021, Shift 1 · Q68A plane passes through the points A(1, 2, 3), B(3, 5, 2) and C(2, 1, 5). If P( $a$ , $b$ , $c$ ) be a point such that $a(b + c) = bc$ , then…HardSingle 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.