Question : Tangent drawn from point X touches the circle at U. O is the centre of this circle. If XU = 15 cm and OU = 8 cm, then what is the value of OX?
Option 1: 12 cm
Option 2: 19 cm
Option 3: 21 cm
Option 4: 17 cm
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Correct Answer: 17 cm
Solution :
The radius and tangent of a circle at a point of contact is always perpendicular to each other. So the angle is 90º.
According to the concept,
Since
OX is the hypotenuse.
Now,
Hence, the correct answer is 17 cm.
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