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Mathematics
Mathematics
Problem
The vertices of a triangle are (0, 0), (1, 0) and (0, 1). Then excentre opposite to (0, 0) is a.
(
−
1
2
,
1
+
1
2
)
\left(-\frac{1}{\sqrt{2}}, 1 + \frac{1}{\sqrt{2}}\right)
(
−
2
1
,
1
+
2
1
)
b.
(
1
+
1
2
,
1
+
1
2
)
\left(1 + \frac{1}{\sqrt{2}}, 1 + \frac{1}{\sqrt{2}}\right)
(
1
+
2
1
,
1
+
2
1
)
c.
(
1
+
1
2
,
1
−
1
2
)
\left(1 + \frac{1}{\sqrt{2}}, 1 - \frac{1}{\sqrt{2}}\right)
(
1
+
2
1
,
1
−
2
1
)
d.
(
−
1
2
,
1
−
1
2
)
\left(-\frac{1}{\sqrt{2}}, 1 - \frac{1}{\sqrt{2}}\right)
(
−
2
1
,
1
−
2
1
)
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