JEE Main 2016MathematicsStraight LinesMediumMCQ

JEE Main 2016 — Straight Lines Question with Solution

JEE Main 2016 (10 Apr Online)

Question

A ray of light is incident along a line which meets another line 7x-y+1=0 at the point 0,1. The ray is then reflected from this point along the line y+2x=1. Then the equation of the line of incidence of the ray of light is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C41x-38y+38=0

Step-by-step explanation

Let slope of incident ray be m.

∴ angle of incidence = angle of reflection

∴ m-71+7m=-2-71-14=913

⇒m-71+7m=913  or m-71+7m=-913

 ⇒13m-91=9+63m, or13m-91=-9-63m

⇒ m=-2 or m=4138

⇒   y-1=4138x-0

⇒ 38y-38-41x=0

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About this question

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