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Mathematics
Problem
The complex numbers
z
1
,
z
2
,
z
3
z_1, z_2, z_3
z
1
,
z
2
,
z
3
satisfying
(
z
2
−
z
3
)
=
(
1
+
i
)
(
z
1
−
z
3
)
(z_2 - z_3) = (1 + i)(z_1 - z_3)
(
z
2
−
z
3
)
=
(
1
+
i
)
(
z
1
−
z
3
)
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, are vertices of a triangle which is a. equilateral b. isosceles c. right angled d. scalene
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