JEE Main 2019MathematicsVector AlgebraEasyMCQ

JEE Main 2019Vector Algebra Question with Solution

JEE Main 2019 (10 Jan Shift 2)

Question

Let α=λ-2 a+b and β=4λ-2 a+3b, be two given vectors where vectors a and b are non-collinear. The value of λ for which vectors α and β are collinear, is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A-4

Step-by-step explanation

α,β are collinear then, λ-24λ-2=13λ=-4.

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 2019, 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.