JEE Main 2016MathematicsThree Dimensional GeometryMediumMCQ

JEE Main 2016 — Three Dimensional Geometry Question with Solution

JEE Main 2016 (03 Apr)

Question

If the line, x-32=y+2-1=z+43 lies in the plane lx+my-z=9, then l2+m2 is equal to

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Show full solutionCorrect option: B
Correct answer
B 2

Step-by-step explanation

x-32=y+2-1=z+43 lies in lx+my-z=9

The point ( 3,−2,−4 ) lies on the plane. So it should satisfy the equation of the plane.

3l-2m+4=9

3l-2m=5 .......(i)

∴ Line lies in plane

∴ line is perpendicular to the normal to the plane

2l-1.m-3=0

2l-m=3 .......(ii)

l=1 and m= -1

∴ l2+m2=1+1=2
 

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About this question

This is a previous-year question from JEE Main 2016, 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.