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Mathematics
Problem
For the curve
x
2
y
+
y
2
=
10
x^2 y + y^2 = 10
x
2
y
+
y
2
=
10
, let
(
1
,
y
1
)
(1,y_1)
(
1
,
y
1
)
be the point on the curve with
y
1
>
0
y_1>0
y
1
>
0
. The normal to the curve at this point meets the
y
y
y
-axis at a)
21
41
−
1
\dfrac{21}{\sqrt{41}-1}
41
−
1
21
b)
21
−
2
41
41
−
1
\dfrac{21 - 2\sqrt{41}}{\sqrt{41} - 1}
41
−
1
21
−
2
41
c)
21
−
2
41
41
+
1
\dfrac{21 - 2\sqrt{41}}{\sqrt{41}+1}
41
+
1
21
−
2
41
d)
43
−
3
41
2
41
\dfrac{43 - 3\sqrt{41}}{2\sqrt{41}}
2
41
43
−
3
41
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