JEE Main 2013MathematicsThree Dimensional GeometryEasyMCQ

JEE Main 2013 — Three Dimensional Geometry Question with Solution

JEE Main 2013 (07 Apr)

Question

If the lines x-21=y-31=z-4-k and x-1k=y-42=z-51 are coplanar, then k can have

Choose an option

Show full solutionCorrect option: A
Correct answer
Aexactly two values.

Step-by-step explanation

For x-x1a1=y-y1b1=z-z1c1

and x-x2a2=y-y2b2=z-z2c2 to be coplanar if 

x2-x1y2-y1z2-z1a1b1c1a2b2c2=0. 


∴1-1-111-kk21=0⇒k=0,  -3

Hence, there are exactly two values of k.

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About this question

This is a previous-year question from JEE Main 2013, 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.