wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Which of the following is true about reflection property of hyperbola?

A
A ray directed towards one focus will reflect off of the hyperbola towards the other focus.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
If a ray of light emerges from one focus and is reflected from either branch of the hyperbola, the light-ray appears to have come from the other focus.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
By reversing the direction of the light, rays directed at one of the foci are reflected towards the other focus.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A If a ray of light emerges from one focus and is reflected from either branch of the hyperbola, the light-ray appears to have come from the other focus.
B A ray directed towards one focus will reflect off of the hyperbola towards the other focus.
C By reversing the direction of the light, rays directed at one of the foci are reflected towards the other focus.
We know that for a hyperbola there are two points of focus,. For any hyperbola with origin at (0,0) and coordinate axes as major and minor axes, the two foci lie at (ae,0) and (ae,0) respectively.

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.

Hence we can see option A,B and C. all of them are correct.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Light
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon