A ray of light passing through the point P(1, 2) reflects on the x-axis at point N and the reflected ray passes through the point Q(5, 3). What is the distance of the point N from the origin?

NDA 2026 Mathematics question

A ray of light passing through the point reflects on the -axis at point and the reflected ray passes through the point . What is the distance of the point from the origin?

(A)3 units
(B)14/5 units
(C)13/5 unitsCorrect
(D)2 units

Answer: (C)

Solution

The image of in the -axis is ; the reflected ray lies along the line . Slope of , so the line is $y+2 =

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Question ID VK-030426