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

If the parabolas
25{(x3)2+(y+2)2}=(3x4y2)2,y2=λx
are equal, then λ is


A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 6

Parabolas are equal if length of their latus rectam are equal

(x3)2+(y+2)2=(3x4y2)225(x3)2+(y+2)2=|3x4y2|5
LLR=2 Distance between focus and directrix=23×34×(2)232+(4)2=6
Also LLR of y2=λx is λ
λ=6


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Parabola
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon