A circle has radius

MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles

Problem

A circle has radius 9 cm9\,\text{cm}. Two chords ABAB and CDCD are at perpendicular distances of 3 cm3\,\text{cm} and 6 cm6\,\text{cm} respectively from the centre. (i) Without performing any calculation, state which chord is longer and give a reason based on a property of chords. (ii) If a third chord EFEF is longer than CDCD but shorter than the diameter, what can you say about the distance of EFEF from the centre? Explain briefly.

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