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Mathematics

P is a point on bisector of angle A of △ABC. Then:

P is a point on bisector of angle A of △ABC. Then: Loci, Concise Mathematics Solutions ICSE Class 10.

  1. P is equidistant from the vertices B and C

  2. PA = PC

  3. PA = PB

  4. P is equidistant from sides AB and AC of the △ABC.

Locus

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Answer

We know that,

The locus of a point equidistant from two intersecting lines is the bisector of the angles between the lines.

Given,

P is a point on bisector of angle A of △ABC.

∴ P is equidistant from sides AB and AC of the △ABC.

Hence, Option 4 is the correct option.

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