Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For the curve
C
:
(
x
2
+
y
2
−
3
)
+
(
x
2
−
y
2
−
1
)
5
=
0
C: (x^2 + y^2 - 3) + (x^2 - y^2 - 1)^5 = 0
C
:
(
x
2
+
y
2
−
3
)
+
(
x
2
−
y
2
−
1
)
5
=
0
, the value of
3
y
′
−
y
3
y
′
′
3y' - y^3y''
3
y
′
−
y
3
y
′′
, at the point
(
α
,
α
)
(\alpha, \alpha)
(
α
,
α
)
,
α
>
0
\alpha > 0
α
>
0
, on
C
C
C
, is equal to \_\_\_\_\_\_. [JEE MAINS - ONLINE - 2022]
Browse the problem library