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Letvec(AB) and vec(AC) be two rays inter...

Let`vec(AB)` and `vec(AC)` be two rays intersecting at A. Let D, E be the points lying on `vec(AB), vec(AC)` respectively and P be the point such that P divides the line DE such that `PD: PE = AD:AE`. What is the locus of the point P ?

A

The angle bisector of angle A

B

The angle trisector of angle A

C

The perpendicular bisector of angle A

D

None of the above

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