A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :

12 cm

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8.5 cm

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√119 cm

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13 cm

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Solution

The correct option is C
√119 cm

ΔOPQ is right angled at P. Using Pythagoras theorem PQ² = 12 ² – 5 ² = √119 cm

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\sqrt{119} c m

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