JEE Main 2020MathematicsThree Dimensional GeometryEasyMCQ

JEE Main 2020 — Three Dimensional Geometry Question with Solution

JEE Main 2020 (03 Sep Shift 2)

Question

The plane which bisects the line joining the points 4, -2, 3 and 2, 4, -1 at right angles also passes through the point :

Choose an option

Show full solutionCorrect option: B
Correct answer
B4, 0, -1

Step-by-step explanation

Mid point P≡3, 1, 1

Normal of plane is along the line AB.

Direction ratio's of normal is <4-2, -2 -4, 3--1>

=<2, -6, 4>

=<1, -3, 2>

Equation of plane is 1x-3-3y-1+2z-1=0

⇒x-3y+2z-2=0

Only option B satisfies and is the answer.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Three Dimensional Geometry chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2020, covering the Three Dimensional Geometry chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.