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Question
In the given figure, If OP = 17 cm, PQ = 30 cm and OS is perpendicular to PQ, then RS is
Options
10 cm
6 cm
7 cm
9 cm
MCQ
Solution
9 cm
Explanation;
Hint:
In ΔOPR, OP = 17 cm, PR = `30/2` = 15 cm.
OR2 = OP2 – PR2
= 172 – 152
= (17 + 15)(17 – 15)
= 32 × 2
OR2 = `sqrt(64)`
= 8 cm
RS = OS – OR
= 17 – 8
= 9 cm
shaalaa.com
Properties of Chord - Theorem: a Perpendicular Drawn from the Centre of a Circle on Its Chord Bisects the Chord.
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