Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • 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.

6.  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, and the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects along CD. Prove that AB || CD.

Answers (1)

best_answer


Draw  a ray BL \perpPQ and CM \perp RS
Since PQ || RS (Given)
So, BL || CM and BC is a transversal
\therefore \angleLBC =  \angleMCB (Alternate interior angles).............(i)

It is known that, angle of incidence  = angle of reflection
So, \angleABL = \angleLBC and \angleMCB =  \angleMCD
\Rightarrow \angle ABL =\angle MCD..................(ii)

Adding eq (i) and eq (ii), we get

\angleABC = \angleDCB
Both the interior angles are equal
Hence AB || CD

Posted by

manish painkra

View full answer

Similar Questions

Trending Articles/News

anam-khan

Board Exams Date Sheet 2025 Live: RBSE 10th, 12th exams from March 6; CBSE admit card expected by month-end

Latest Question