JEE Main 2013 — Straight Lines Question with Solution
JEE Main 2013 (22 Apr Online)
Question
The acute angle between two lines such that the direction cosines , of each of them satisfy the equations and is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Let and be the d.c of line 1 and 2 respectively, then as given
and
and and
and
Angle between lines, is
As given and or
So
If then
If then
If then
If then
Also and
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This is a previous-year question from JEE Main 2013, covering the Straight Lines 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.