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Mathematics
Mathematics
Problem
If
α
x
+
β
y
=
109
\alpha x + \beta y = 109
α
x
+
β
y
=
109
is the equation of the chord of the ellipse
x
2
9
+
y
2
4
=
1
\frac{x^2}{9} + \frac{y^2}{4} = 1
9
x
2
+
4
y
2
=
1
, whose mid point is
(
5
2
,
1
2
)
(\frac{5}{2}, \frac{1}{2})
(
2
5
,
2
1
)
, then
α
+
β
\alpha + \beta
α
+
β
is equal to :
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