JEE Main 2017MathematicsThree Dimensional GeometryMediumMCQ

JEE Main 2017 — Three Dimensional Geometry Question with Solution

JEE Main 2017 (08 Apr Online)

Question

The line of intersection of the planes r→ ⋅3i^-j^+ k^=1 and r→ ⋅i^+4j^-2k^=2, is,

Choose an option

Show full solutionCorrect option: C
Correct answer
Cx-6132=y-513-7=z-13

Step-by-step explanation

n→= n→1×n→2 

= i^j^k^3-1114-2

= i^ -2-j^-7+k^13

n→=-2i+7j^+13k^

Now equations of plane are

3x-y+z=1 and

x+4y-2z=2

Let, z=0

⇒ 3x-y=1

⇒ x+4y=2

⇒ 13x=6

x=613 and

y=513

∴ Equation of required line is,

x-613-2=y-5137=z-013

or

x-6132=y-513-7=z-13

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About this question

This is a previous-year question from JEE Main 2017, 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.