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Mathematics
Mathematics
Problem
The chords of contact of the pair of tangents to the circle
x
2
+
y
2
=
1
x^2 + y^2 = 1
x
2
+
y
2
=
1
drawn from any point on the line
2
x
+
y
=
4
2x + y = 4
2
x
+
y
=
4
pass through the point
(
α
,
β
)
(\alpha, \beta)
(
α
,
β
)
, then find
α
2
+
β
2
\alpha^2 + \beta^2
α
2
+
β
2
.
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