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Mathematics

Bisector of angle B of triangle ABC intersects side AC at point P, then point P is :

  1. equidistant from vertices A and C

  2. PA = PB

  3. PB = PC

  4. equidistant from sides AB and BC

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.

Bisector of angle B of triangle ABC intersects side AC at point P, then point P is : Loci, Concise Mathematics Solutions ICSE Class 10.

Given,

Bisector of angle B of triangle ABC intersects side AC at point P.

∴ P is equidistant from sides AB and BC.

Hence, Option 4 is the correct option.

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