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Mathematics
Problem
The curve
x
2
+
y
2
+
k
x
y
2
=
9
x^{2}+y^{2}+k x y^{2}=9
x
2
+
y
2
+
k
x
y
2
=
9
passes through the point
(
2
,
1
)
(2,1)
(
2
,
1
)
. For which value of
k
k
k
is the slope at
(
2
,
1
)
(2,1)
(
2
,
1
)
equal to
−
3
5
-\dfrac{3}{5}
−
5
3
? a)
7
6
\dfrac{7}{6}
6
7
b)
−
26
17
-\dfrac{26}{17}
−
17
26
c)
2
2
2
d)
14
17
\dfrac{14}{17}
17
14
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