Home Maths Vector Algebra General A mirror and a source of light are situated …
Maths Vector Algebra General Single Correct MCQ
Published on: August 13, 2026

A mirror and a source of light are situated at the origin O and at a point on OX (x-axis) respectively. A ray of light from the source strikes the mirror and is reflected. If the Drs of the normal to the plane are 1, –1, 1, then find d.c’s of the reflected ray.

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The correct answer is:
D

d.c’s of the reflected ray are

Sol. Let the d.c’s of reflected ray be , then

d.r’s of the normal are

= = and so  2 + (  + 1) 2 + (  + 1) 2 = 1 i.e.  = – 1 or –

if  = – 1, then d.c’s are which is not possible

∴  = – ∴ d.c’s of the reflected ray are

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