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

The length of the latus rectum and the length of the transverse axis of a hyperbola are 43 & 23 respectively, then the equation of the hyperbola can be


A

x23y26=1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

x23y29=1

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

x26y29=1

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

x26y23=1

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

x23y26=1


Let the transverse axis be along the x-axis such that the hyperbola is of the form

x2a2y2b2=1
Latus Rectum = 2b2a=43
Also, 2a=23a=3

2b23=43b2=6

The equation of the hyperbola is

x23y26=1


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