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

The number of tangents to the curve x3/2+y3/2=a3/2, where the tangents are equally inclined to the axes, is

A
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 1
dydx=1 (where x is equally inclined)
32x1/2+3/2y1/2dydx=0
dydx=xy=1
xy=1
x=y
x=y
x3/2+x3/2=a3/2
2x3/2=a3/2
x=a22/3
y=a22/3
only one tangent.

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