Identify the theorem and analyse — task. Mathematics State Board, Class 9.

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1. Tom's teacher asks him to draw a circle with two equal chords. So, he takes up a paper and draws a circle. To draw the chords as directed by the teacher, he measures exactly 3 \(cm\) from the centre on opposite side and draws the chord.

The theorem used by Tom in drawing the chords is

Equal chords of a circle subtend equal angles at the centre.
The perpendicular from the centre of a circle to a chord bisects the chord.
The chords of a circle which are equidistant from the centre are equal.

In the figure, the length of the diameter \(PS\) is 50 \(cm\) and the length of the equal chords \(PQ\) and \(RS\) is 40 \(cm\). Find the distance between the chords.

Answer:

The distance between the chords is \(cm\).

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11. Identify the theorem and analyse

Exercise condition: