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Mathematics
Mathematics
Problem
The locus of the mid-points of a focal chord of the ellipse
x
2
a
2
+
y
2
b
2
=
1
\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1
a
2
x
2
+
b
2
y
2
=
1
is a.
x
2
a
2
+
y
2
b
2
=
e
x
a
\frac{x^2}{a^2} + \frac{y^2}{b^2} = \frac{ex}{a}
a
2
x
2
+
b
2
y
2
=
a
e
x
b.
x
2
a
2
−
y
2
b
2
=
e
x
a
\frac{x^2}{a^2} - \frac{y^2}{b^2} = \frac{ex}{a}
a
2
x
2
−
b
2
y
2
=
a
e
x
c.
x
2
+
y
2
=
a
2
+
b
2
x^2 + y^2 = a^2 + b^2
x
2
+
y
2
=
a
2
+
b
2
d.
x
2
−
y
2
=
a
2
+
b
2
x^2 - y^2 = a^2 + b^2
x
2
−
y
2
=
a
2
+
b
2
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