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Mathematics
Problem
On the ellipse
9
x
2
+
16
y
2
=
144
9x^{2}+16y^{2}=144
9
x
2
+
16
y
2
=
144
, the slope of the tangent is
−
1
-1
−
1
at which of the following points? a)
(
9
5
,
16
5
)
\left(\dfrac{9}{5},\dfrac{16}{5}\right)
(
5
9
,
5
16
)
and
(
−
9
5
,
−
16
5
)
\left(-\dfrac{9}{5},-\dfrac{16}{5}\right)
(
−
5
9
,
−
5
16
)
b)
(
16
5
,
9
5
)
\left(\dfrac{16}{5},\dfrac{9}{5}\right)
(
5
16
,
5
9
)
and
(
−
16
5
,
−
9
5
)
\left(-\dfrac{16}{5},-\dfrac{9}{5}\right)
(
−
5
16
,
−
5
9
)
c)
(
0
,
4
)
(0,4)
(
0
,
4
)
and
(
0
,
−
4
)
(0,-4)
(
0
,
−
4
)
d)
(
16
5
,
−
9
5
)
\left(\dfrac{16}{5},-\dfrac{9}{5}\right)
(
5
16
,
−
5
9
)
and
(
−
16
5
,
9
5
)
\left(-\dfrac{16}{5},\dfrac{9}{5}\right)
(
−
5
16
,
5
9
)
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