JEE Main 2019MathematicsThree Dimensional GeometryEasyMCQ

JEE Main 2019 — Three Dimensional Geometry Question with Solution

JEE Main 2019 (09 Jan Shift 1)

Question

The plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to y- axis also passes through the point

Choose an option

Show full solutionCorrect option: C
Correct answer
C3,2,1

Step-by-step explanation

Let required plane is (using concept of family of plane)

x+y+z-1+t2x+3y-z+4=0

⇒1+2tx+1+3ty+1-tz-1+4t=0

Again DR of y- axis is 0,1,0

Since plane is parallel to y- axis

Hence 1+2t×0+1+3t×1+1-t×0=0

⇒t=-13

∴ required plane is 13x+43z-73=0

⇒x+4z-7=0

Which satisfy 3,2,1

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About this question

This is a previous-year question from JEE Main 2019, 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.