JEE Main 2019MathematicsVector AlgebraEasyMCQ

JEE Main 2019 — Vector Algebra Question with Solution

JEE Main 2019 (10 Jan Shift 1)

Question

Let A be a point on the line r→=1-3μi^+μ-1j^+2+5μk^ and B3, 2, 6 be a point in the space. Then the value of μ for which the vector AB→ is parallel to the plane x-4y+3z=1 is

Choose an option

Show full solutionCorrect option: B
Correct answer
B14

Step-by-step explanation

Let A is 1-3μ, μ-1, 2+5μ

We know that the vector joining two points x1, y1, z1 and x2, y2, z2 is x2-x1i^+y2-y1j^+z2-z1k^

⇒AB→=3μ+2i^+3-μj^+4-5μk^ which is parallel to plane x-4y+3z=1

⇒13μ+2-43-μ+34-5μ=0

⇒3μ+2-12+4μ+12-15μ=0

⇒ -8μ+2=0

⇒μ=14.

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.