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Mathematics
Problem
If a variable tangent to the curve
x
2
y
=
c
3
x^2y = c^3
x
2
y
=
c
3
makes intercepts
a
a
a
,
b
b
b
on
x
x
x
and
y
y
y
axis respectively, then the value of
a
2
b
a^2b
a
2
b
is : (A)
27
c
3
27c^3
27
c
3
(B)
4
27
c
3
\frac{4}{27}c^3
27
4
c
3
(C)
27
4
c
3
\frac{27}{4}c^3
4
27
c
3
(D)
4
9
c
3
\frac{4}{9}c^3
9
4
c
3
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