JEE Main 2022MathematicsVector AlgebraEasyMCQ

JEE Main 2022 — Vector Algebra Question with Solution

JEE Main 2022 (29 Jul Shift 2)

Question

If 2,3,9,5,2,1,1,λ,8 and λ,2,3 are coplanar, then the product of all possible values of λ is

Choose an option

Show full solutionCorrect option: D
Correct answer
D958

Step-by-step explanation

Given,

Points A2,3,9, B5,2,1, C1,λ,8 & Dλ,2,3 are coplanar,

Now we know that condition of coplanarity is  AB→AC→AD→=0

⇒3-1-8-1λ-3-1λ-2-1-6=0

⇒3-6λ-3-1+16+λ-2-81-λ-3λ-2=0

⇒3-6λ+17+4+λ-8+8λ-3λ-2=0

⇒-18λ+51+4+λ-8+8λ2-40λ+48=0

⇒8λ2-57λ+95=0

So product of roots will be 958

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Vector Algebra chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2022, covering the Vector Algebra 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.