A tangent PQ at a point P of a circle of radius 5cm meets a line through the centre O at a point Q so that OQ=12cm. Length PQ is:
8.5cm
√119cm
12cm
13cm
Solution:
The correct option is B √119cm OP=5cm and OQ=12cm To find: PQ By using Pythagoras Theorem, we have OP² + PQ² = OQ² Putting given values in above equation 5² + PQ² = 12² ⟹ PQ² = 144 - 25 ⟹ PQ² = 119 PQ = √119cm