Home
Class 9
MATHS
In Figure, m\ a n d\ n are two plane mir...

In Figure, `m\ a n d\ n` are two plane mirrors perpendicular to each other. Show that the incident ray `C A` is parallel to the reflected ray `B D`

Text Solution

Verified by Experts

Let the normals at A and B meet at P.
Since angle of incidence = angle of reflection, we have
`angle1=angle2 and angle4=angle3`
As the mirrors are perpendicular to each other, we have
`BP bot PA`, we have `angleAPB=90^(@)`.
`:. angle2+angle3=90^(@)`
`:. angle1+angle4=angle2+angle3=90^(@)`.
So, `angle1+angle2+angle3+angle4=180^(@)`.
`:. angleCAB+angleABD=180^(@)`.
Hence, `AC||BD`.
Promotional Banner

Similar Questions

Explore conceptually related problems

In Figure, m\ and\ n are two plane mirrors perpendicular to each other. Show that the incident ray C A is parallel to the reflected ray B D

Two plane mirrors are perpendicular to each other. A ray after suffering reflection from the two mirror will be

In Fig. 6.33, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB || CD.

In Figure,PQ AND RS are two mirrors placed parallel to each other.An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS and C and again reflects back along CD. Prove that AB||CD .

Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror. Determine the angle between the two mirrors: