JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

A ray of light travelling along the line is incident on the -axis and after refraction it enters the other side of the -axis by turning away from the -axis. The equation of the line along which the refracted ray travels is

Answer: (A),(C)

Solution

The ray meets the -axis at . Along it travels at to the -axis (for example, downward with direction angle ). After refraction it turns further away from the axis, so it makes with the axis, with direction angle . The line has inclination

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Question ID VK-108850