At one end of diameter PQ of a circle of radius 8 cm a tangent APB is drawn to the circle. Find the length of the chord RS, which is parallel to AB and at a distance of 12 cm from P.
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Correct answer: D
Explanation
The correct answer is option 4 i.e. cm.
According to the given question,

Let the diameter PQ cuts the chord RS at right angle in two equal parts at T.
Now, applying Pythagoras theorem in triangle OTS,
OS2 = OT2 + ST2
⇒ 82 = 42 + ST2
⇒ ST2 = 64 - 16
⇒ ST2 = 48
⇒ ST =
Also, RS = 2ST
⇒ RS = cm