JEE Main 2018 — Three Dimensional Geometry Question with Solution
JEE Main 2018 (15 Apr Shift 1 Online)
Question
A variable plane passes through a fixed point ( 3 , and meets and axes at and respectively. A plane is drawn parallel to - plane through , a second plane is drawn parallel plane through and a third plane is drawn parallel to - plane through . Then the locus of the point of intersection of these three planes, is
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Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
If are the intercepts of the variable plane on the axes respectively, then the equation of the plane is And the point of intersection of the planes parallel to the and planes is ( , c).
As the point lies on the variable plane, so
Therefore, the required locus is
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This is a previous-year question from JEE Main 2018, 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.