JEE Main 2016MathematicsVector AlgebraMediumMCQ

JEE Main 2016 — Vector Algebra Question with Solution

JEE Main 2016 (09 Apr Online)

Question

In a triangle ABC, right angle at vertex A, if the position vectors of A,B and C are respectively 3i^+ j^- k^, -i^+3j^+pk^ and 5i^+qj^-4k^ , then the point p,q lies on a line:

Choose an option

Show full solutionCorrect option: D
Correct answer
DMaking an acute angle with the positive direction of x-axis

Step-by-step explanation



AB→= -4i^+2j^+p+1k^

AC→= 2i^+q-1j^-3k^

AB→⊥AC→

⇒ AB→ · AC→=0

-8+2q-1-3p+1=0

3p-2q+13=0

p,q lies on 3x-2y+13=0

Slope =32

∴  The required line makes an acute angle with the positive direction of x-axis.

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About this question

This is a previous-year question from JEE Main 2016, 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.