JEE Main 2020 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 3 September 2020, Shift 2, Maths Q66

Question 66 of 75 in this shift, Maths question 16 of 25.

The plane which bisects the line joining the points

(4, -2, 3)

and

(2, 4, -1)

at right angles also passes through the point :

(1) $(4, 0, 1)$
(2) $(4, 0, -1)$ Official answer
(3) $(0, -1, 1)$
(4) $(0, 1, -1)$

Official answer

Option 2

NTA final key (Sep 2020).

Chapter: Three Dimensional Geometry
Topic: Planes in 3D
Idea tested: Perpendicular Bisector Plane

Same idea in other shifts

Asked 3× in all

24 Jun 2022, Shift 2 · Q15Let the points on the plane P be equidistant from the points $(-4, 2, 1)$ and $(2, -2, 3)$ . Then the acute angle between the plane P and…MediumSingle correct
18 Mar 2021, Shift 1 · Q85Let the plane $ax+by+cz+d=0$ bisect the line joining the points $(4,-3,1)$ and $(2,3,-5)$ at the right angles. If a, b, c, d are integers,…EasyNumerical 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 108 of the 174 JEE Main shifts held from 2017 to 2026.