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Problem
Problem
If the tangent at
(
x
0
,
y
0
)
(x_0, y_0)
(
x
0
,
y
0
)
to the curve
x
3
+
y
3
=
a
3
x^3 + y^3 = a^3
x
3
+
y
3
=
a
3
meets the curve again at
(
x
1
,
y
1
)
(x_1, y_1)
(
x
1
,
y
1
)
, then
x
1
x
0
+
y
1
y
0
\frac{x_1}{x_0} + \frac{y_1}{y_0}
x
0
x
1
+
y
0
y
1
is equal to a. 2 b. 2a c. 1 d. None of these
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