CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A ray of light is coming along the line y=b from the positive direction of x axis and strikes the concave mirror whose interaction with x plane is a parabola y2=4ax. Find the equation of the reflected ray. Assume a,b are positive.

A
(yb)(4a2b2)=(4ax+b2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(y+b)(4a2b2)=(4axb2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(y+b)(4a2+b2)=(4axb2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(yb)(4a2b2)=(4axb2)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D (yb)(4a2b2)=(4axb2)
Reflected ray passes through focus of parabola (a,0) and (b24a,b)
y=b,x=b24a
y0xa=b0b24aa
ybxb24a=b0b24aa
yb(4axb2)=b(b24a2)

(yb)(4a2b2)=b(4axb2)

658028_79290_ans_03220fd088f84e8ca900f8b0e9ec270a.png

flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
Join BYJU'S Learning Program
Select...
similar_icon
Related Videos
thumbnail
lock
Formation of Differential Equation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
Select...