JEE Main 2016MathematicsThree Dimensional GeometryMediumMCQ

JEE Main 2016 — Three Dimensional Geometry Question with Solution

JEE Main 2016 (03 Apr)

Question

The distance of the point 1,-5, 9 from the plane x-y+z=5 measured along the line x=y=z is

Choose an option

Show full solutionCorrect option: D
Correct answer
D103

Step-by-step explanation

Equation of line parallel to x=y=z through

1,-5, 9 is x-11=y+51=z-91=λ

If P λ+1, λ-5, λ+9 be point of intersection of line and plane.

⇒ λ+1-λ+5+λ+9=5

⇒ λ= -10

⇒ Coordinate points are -9, -15, -1

⇒ Required distance =λ12+12+12=103

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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.