Straight Lines
Grade 11

Question:

<p>A light beam emanating from the point A (3,10) reflects from the line 2x + y - 6 = 0 and then passes through the point B (5, 6). The equation of the incident and reflected beams are respectively :</p>
<p style="display:inline">4x  - 3y + 18 = 0 and y = 6</p>
<p style="display:inline">x - 2y  + 8 = 0 and y = 10</p>
<p style="display:inline">x + 2y  - 8 = 0 and y = 6</p>
<p style="display:inline">x - 2y + 8 = 0 and x = 5</p>

Step-by-Step Solution

Key Concept: The image of a point on the incident ray with respect to the reflecting line lies on the line containing the reflected ray, and vice versa.
<p>4x&nbsp; - 3y + 18 = 0 and y&nbsp;= 6</p>
Correct Answer: A

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