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Question

Refer to the following figure:

D and C are equidistant from O.

If any point P is is located such that ODP is congurent to OCP, then P lies on the ________.


  1. Altitude of ΔDOC to side DC.

  2. Perpenidicular bisector of ∠DOC

  3. None of these

  4. Angular bisector of ∠DOC


Solution

The correct option is D

Angular bisector of ∠DOC


Given ODP is congurent to OCP.

Then by C.P.C.T., DOP = COP 

i.e. OP is the angular bisector of DOC.

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