CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The asymptotes of the hyperbola xy+3x+2y=0 are

A
x2=0 and y3=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x3=0 and y2=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x+2=0 and y+3=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
x+3=0 and y+2=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C x+2=0 and y+3=0
Let equation of asymptotes be xy+3x+2y+λ = 0.
Then abc+2fghaf2bg2ch2=0
32λ4=0λ=6
Equation of asymptotes is xy+3x+2y+6=0
(x+2)(y+3)=0x+2=0 and y+3=0

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