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

The mirror image of the directrix of the parabola y2=4(x+1) in the line mirror x+2y=3 is

A
x=2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4y+3x=16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3x4y+16=0
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 option is C 3x4y+16=0
For the parabola y2=4(x+1) vertex will be (1,0) and focus will be (0,0).
Therefore directrix of the parabola will be x=2
Any point on x=2 is (2,k)
Now, mirror image (x,y) of (2,k) in the line x+2y=3 is given by
x+21=yk2=2(2+2k35)x=104k52x=4k5(1)Also,y=203k5(2)
From (1) and (2) we get,
y=4+35(5x4)
4y=16+3x is the equation of the mirror image of the directrix.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon