Question

Reflection property of hyperbola is applicable in which of the following?

• A. Radio direction finding
• B. Construction of mirrors inside telescopes
• C. Whispering rooms/ Cathedrals
• D. None of these

Answer 1

Answer: (A), (B)

The correct options are
A Radio direction finding
B Construction of mirrors inside telescopes

Every hyperbola has it's own reflection property. When a light ray following the path starting from one focus falls on Hyperbola, it will reflect off of the hyperbola directly away from the other focus. Similarly, if a ray directed towards one focus will reflect off of the hyperbola towards the other focus.

The reflection property of the hyperbola has many applications. It is used in radio direction finding ( since the difference in signals from two towers is constant along hyperbolae ),

And in the construction of mirrors inside telescopes ( to reflect a wide range of light coming from the hyperbolic mirror to the eyepiece ).

Hence option $A$ and $B$ are correct.