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In the given figure, AP is bisector of angle A of △ ABC and DP is perpendicular bisector of side AB, then :

In the given figure, AP is bisector of angle A of △ ABC and DP is perpendicular bisector of side AB, then : Constructions, Concise Mathematics Solutions ICSE Class 10.
  1. P is incenter of △ ABC

  2. P is circumcenter of △ ABC

  3. PB bisects angle B

  4. none of these

Constructions

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Answer

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of triangle intersect.

Since,

In the given figure, P is intersection of an angle bisector and perpendicular bisector of a side.

Hence, Option 4 is the correct option.

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