Exams › SSC CGL (Prelims) › General

Two arcs PAQ and RBS of a circle are congruent. What is the ratio of chord PQ to chord RS?

1. 1 : 3
2. 2 : 3
3. 1 : 1
4. 1 : 2

Correct answer: 1 : 1

Solution

By the theorem: in a circle, equal (congruent) arcs correspond to equal chords. Since arc PAQ is congruent to arc RBS, chord PQ equals chord RS, giving the ratio PQ : RS = 1 : 1.

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