JEE Main 2023MathematicsThree Dimensional GeometryEasyMCQ

JEE Main 2023 — Three Dimensional Geometry Question with Solution

JEE Main 2023 (11 Apr Shift 1)

Question

Let (α,β,γ) be the image of point P(2,3,5) in the plane 2x+y-3z=6. Then α+β+γ is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B10

Step-by-step explanation

Given plane is 2x+y-3z=6.

Since, α,β,γ is the image point of 2,3,5 in the given plane, so

α-22=β-31=γ-5-3=-24+3-15-64+1+9

⇒α-22=β-31=γ-5-3=2

⇒α-22=2; β-31=2; γ-5-3=2

∴α=6, β=5, γ=-1

Hence, α+β+γ=6+5-1=10

Hence this is the required 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.