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The perpendicular bisector of side AB and bisector of angle ∠A of △ABC meet at point P. Then:

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Question

The perpendicular bisector of side AB and bisector of angle ∠A of  △ABC meet at point P. Then:

Options

  • PA = PB

  • PA = PC

  • PB = PC

  • PB bisects ∠ABC

MCQ
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Solution

PA = PB

Explanation:

We know that,

Locus of a point equidistant from two given points is the perpendicular bisector of the line joining the two points.

Since,

The perpendicular bisector of side AB and bisector of angle A of △ABC meet at point P.

∴ PA = PB.

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Chapter 16: Loci (Locus and Its Constructions) - EXERCISE 16 (A) [Page 241]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 16 Loci (Locus and Its Constructions)
EXERCISE 16 (A) | Q 1. (c) | Page 241
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