JEE Main 2023MathematicsThree Dimensional GeometryEasyMCQ

JEE Main 2023 — Three Dimensional Geometry Question with Solution

JEE Main 2023 (13 Apr Shift 2)

Question

The line, that is coplanar to the line x+3-3=y-11=z-55, is

Choose an option

Show full solutionCorrect option: B
Correct answer
Bx+1-1=y-22=z-55

Step-by-step explanation

We know that two lines x-x1a1=y-y1b1=z-z1c1 and x-x2a2=y-y2b2=z-z2c2 are coplanar if x2-x1y2-y1z2-z1a1b1c1a2b2c2=0

Let us verify this option.

The given lines are x+3-3=y-11=z-55 and x+1-1=y-22=z-55.

=-1--32-15-5-315-125

=210-315-125

=25-10-1-15--5+0

=2-5+10=0

Therefore, this is the correct option.

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About this question

This is a previous-year question from JEE Main 2023, 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.