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

Find the points on the curve y=x/(1x2) where the tangents makes an angle of π/4 with x-axis

A
(3,23),(2,23)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(3,34),(3,34)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(3,32),(3,32)
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 D (3,32),(3,32)
dydx=tan450
Or
dydx=1
Or
(1x2)x(2x)(1x2)2=1
Or
1x2+2x2=(1x2)2
Or
1+x2=12x2+x4
Or
x43x2=0
Or
x2[x23]=0
x=0 or
x=±3
Hence
y=313=32
y=313=32
Hence
(3,32),(3,32).

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