Practice Question 10
P
10.1 PQ and RS are two equal chords of a circle with a centre O. They
intersect each other at a right angle at B. A and Care midpoints
of PQ and RS, respectively. Prove that OABC is a square.
10.2 in Fig. 66, PQ and XY are two chords of a circle with a centre o.
Which chord is shorter in length? Prove your answer.
Fig. 66
o
10.3 in Fig. 67, chords PQ and PS are equidistant from the centre
0. R is a point such that RQ is perpendicular to PQ and RS is
perpendicular to PS. Prove that ZPRS and ZPRQ are equal.
R
Fig. 67
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