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Let the altitudes from the vertices A, B...

Let the altitudes from the vertices A, B and Cof the triangle e ABCmeet its circumcircle at D, E and F respectively and `z_1, z_2 and z_3` represent the points D, E and F respectively. If `(z_3-z_1)/(z_2-z_1)` is purely real then the triangle ABC is

A

obtuse angled

B

right angled

C

right angled isosceles

D

equilateral

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