Q. 68

# In figure, *m *and *n *are two plane mirrors parallel to each other. Show that the incident ray CA is parallel to the reflected ray BD.

Answer :

Given:

*m*and

*n*are parallel to each other.To prove: ray BD || ray CA.Proof:BQ is the normal to the reflecting surface. ⇒ BQ ⊥ n.Similarly, AP is the normal to the reflecting surface.⇒ AP⊥ m.⇒ Since m || n.AP || BQ. ⇒ ∠QBA = ∠BAP (Alternate angles are equal)∴ 2∠QBA = 2∠BAP ∠DBA = ∠BAC (The angle of incidence = The angle of reflection)ray BD || ray CA ( Alternate angles are equal ).

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Quiz | Lines and Angles43 mins

Lines and Angles45 mins

NCERT | Angle Sum Property44 mins

NCERT | Intersecting and Non Intersecting lines)41 mins

Quiz | Angle Sum Property of Triangle40 mins

Quiz | Imp. Qs. on Lines and Angles30 mins

Solving Important Proofs of Lines and Angles44 mins

Quiz on Lines and Angles26 mins

NCERT | Lines and Angles Part - 142 mins

Do You Know About Lines and Angles52 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation