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Mathematics
Mathematics
Problem
The locus of the image of the focus of the ellipse
x
2
25
+
y
2
9
=
1
,
with respect to any of the tangent to the ellipse
\frac{x^2}{25} + \frac{y^2}{9} = 1, \text{ with respect to any of the tangent to the ellipse}
25
x
2
+
9
y
2
=
1
,
with respect to any of the tangent to the ellipse
is a.
(
x
+
4
)
2
+
y
2
=
100
(x + 4)^2 + y^2 = 100
(
x
+
4
)
2
+
y
2
=
100
b.
(
x
+
2
)
2
+
y
2
=
50
(x + 2)^2 + y^2 = 50
(
x
+
2
)
2
+
y
2
=
50
c.
(
x
−
4
)
2
+
y
2
=
100
(x - 4)^2 + y^2 = 100
(
x
−
4
)
2
+
y
2
=
100
d.
(
x
−
2
)
2
+
y
2
=
50
(x - 2)^2 + y^2 = 50
(
x
−
2
)
2
+
y
2
=
50
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