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JEE Main 20206 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
6 September
Shift
Morning Shift
Subject
Mathematics
Chapter
Straight Lines

JEE Main 2020 · 6 September · Morning Shift · Mathematics · Straight Lines

A ray of light coming from the point ( 2, 2 3 ) is incident at an...

A ray of light coming from the point (2,23)( 2, 2\sqrt{3} ) is incident at an angle 30°30 ° on the line x=1x = 1 at the point AA. The ray gets reflected on the line x=1x = 1 and meets xx -axis at the point BB. Then, the line ABAB passes through the point

A ray of light coming from the point ( 2, 2 3 ) is incident at an angle 30 ° on the line x = 1 at the point A . The ray

Options

  1. A(3,−13)\left(3, - \dfrac{1}{\sqrt{3}}\right)
  2. B(4,−32)( 4, - \dfrac{\sqrt{3}}{2} )
  3. C(3,−3)( 3, - \sqrt{3} )
  4. D(4,−3)\left(4, - \sqrt{3}\right)

Correct answer

C. (3,−3)( 3, - \sqrt{3} )

Step-by-step solution

A ray of light coming from the point ( 2, 2 3 ) is incident at an angle 30 ° on the line x = 1 at the point A . The ray

Equation of

P′B→y−23=tan⁡120°⋅(x−0)\begin{array}{ll}{P}^{'}B \to y - 2\sqrt{3} = \tan 120 ° \cdot ( x - 0 )\end{array}

⇒3x+y=23⇒ \sqrt{3}x + y = 2\sqrt{3}

Now satisfy options

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