JEE Main 2020MathematicsThree Dimensional GeometryMediumMCQ

JEE Main 2020 — Three Dimensional Geometry Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

The mirror image of the point 1,2,3, in a plane is -73,-43,-13. Which of the following points lies on this plane?

Choose an option

Show full solutionCorrect option: B
Correct answer
B1,-1, 1

Step-by-step explanation

Assume, Q be the midpoint of 1,2,3 & -73,-43,-13

So, coordinate of 

Q=1-732,2-432,3-132=-23,13,43

The direction ratio of normal to the plane is 

1+73, 2+43, 3+13=103,103,103 ⇒1,1,1

So, equation of plane is x+y+z=1.

So, 1,-1,1 lies on this plane.

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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.