JEE Main 2021MathematicsThree Dimensional GeometryMediumMCQ

JEE Main 2021 — Three Dimensional Geometry Question with Solution

JEE Main 2021 (25 Feb Shift 1)

Question

The equation of the line through the point 0,1,2 and perpendicular to the line x-12=y+13=z-1-2 is :

Choose an option

Show full solutionCorrect option: C
Correct answer
Cx-3=y-14=z-23

Step-by-step explanation

x-12=y+13=z-1-2=r

⇒ Px,y,z=2r+1,3r-1,-2r+1

Since, QP→⊥2i^+3j^-2k^

⇒ 4r+2+9r-6+4r+2=0

⇒ r=217

⇒ P2117,-1117,1317

⇒ PQ→=21i^-28j^-21k^17

So, QP→:x-3=y-14=z-23

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About this question

This is a previous-year question from JEE Main 2021, 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.