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Mathematics

ABC is a triangle. Point P moves with vertex B as center and radius 2.8 cm. The locus of point P is :

  1. bisector of angle ABC.

  2. a line parallel to BC and at a distance of 2.8 cm from it.

  3. circle with center at point B and radius = 2.8 cm.

  4. perpendicular bisector of BC.

Locus

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Answer

We know that,

Locus of a point, in a plane and at a fixed distance from a given fixed point, is the circumference of the circle with the given fixed point as center and given fixed distance as radius.

∴ The locus of point P is a circle with center at point B and radius = 2.8 cm.

Hence, Option 3 is the correct option.

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