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Mathematics
Mathematics
Problem
Find the intervals of the values of 'a' for which the line
y
+
x
=
0
y + x = 0
y
+
x
=
0
bisects two chords drawn from a point
(
1
+
2
a
2
,
1
−
2
a
2
)
\left( \frac{1 + \sqrt{2}a}{2}, \frac{1 - \sqrt{2}a}{2} \right)
(
2
1
+
2
a
,
2
1
−
2
a
)
to the circle
2
x
2
+
2
y
2
−
(
1
+
2
a
)
x
−
(
1
−
2
a
)
y
=
0.
2x^2 + 2y^2 - (1 + \sqrt{2}a)x - (1 - \sqrt{2}a)y = 0.
2
x
2
+
2
y
2
−
(
1
+
2
a
)
x
−
(
1
−
2
a
)
y
=
0.
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